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Sam Allardyce is determined to revel in West Ham's best start to a season in almost 30 years.
Andy Carroll and Stewart Downing were on target in a 2-0 win over Leicester which means the Hammers are fourth in the Barclays Premier League at Christmas.
It is their highest position on December 25 since the 1985-86 season when they finished third.
Questions are bound to be asked if the Hammers can last the distance on this occasion, but with Chelsea and Arsenal the next opposition Allardyce is not looking too far ahead.
West Ham - the latest match in picturesShow all 113 1 /113West Ham - the latest match in pictures West Ham - the latest match in pictures West Ham 1 Burnley 0 Mark Noble converts his match-winning penalty
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West Ham - the latest match in pictures West Ham 1 Burnley 0 Mark Noble celebrates his goal for West Ham
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West Ham - the latest match in pictures West Ham 1 Burnley 0 Michael Duff walks off the pitch after being sent off
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West Ham - the latest match in pictures Arsenal 3 West Ham 0 Theo Walcott started for only the third Premier League match this season.
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West Ham - the latest match in pictures Arsenal 3 West Ham 0 Olivier Giroud leaps into the air in celebration after opening the scoring on the stroke of half-time.
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West Ham - the latest match in pictures Arsenal 3 West Ham 0 Aaron Ramsey scored for the first time since December.
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West Ham - the latest match in pictures Arsenal 3 West Ham 0 Mathieu Flamini scored with virtually his first touch after coming on as a substitute.
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West Ham - the latest match in pictures West Ham 0 Chelsea 1 Eden Hazard puts Chelsea ahead
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West Ham - the latest match in pictures West Ham 0 Chelsea 1 Eden Hazard celebrates his goal
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West Ham - the latest match in pictures West Ham 0 Chelsea 1 Kurt Zouma tries to make a challenge
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West Ham - the latest match in pictures West Ham 0 Chelsea 1 Cesc Fabregas in action during the tight contest
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West Ham - the latest match in pictures West Ham 1 Manchester United 1 Cheikhou Kouyate scores the opening goal
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West Ham - the latest match in pictures West Ham 1 Manchester United 1 Cheikhou Kouyate celebrates the opening goal
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West Ham - the latest match in pictures West Ham 1 Manchester United 1 Wayne Rooney during Manchester United's draw with West Ham
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West Ham - the latest match in pictures West Ham 1 Manchester United 1 Robin van Persie fails to score
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West Ham - the latest match in pictures West Ham 1 Manchester United 1 Daley Blind celebrates his late equaliser
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West Ham - the latest match in pictures Bristol City 0 West Ham 1 Diafra Sakho celebrates the winning goal
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West Ham - the latest match in pictures Bristol City 0 West Ham 1 Diafra Sakho heads in the 80th-minute winner
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West Ham - the latest match in pictures West Ham 3 Hull City 0 Stewart Downing celebrates scoring the Hammers' third
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West Ham - the latest match in pictures West Ham 3 Hull City 0 Andy Carroll opens the scoring
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West Ham - the latest match in pictures Swansea 1 West Ham 1 Bafetimbi Gomis rises highest to head in the equalising goal
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West Ham - the latest match in pictures Swansea 1 West Ham 1 Gomis celebrates his goal with the French national flag
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West Ham - the latest match in pictures Swansea 1 West Ham 1 Andy Carroll's shot evades the diving Lukasz Fabianski
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West Ham - the latest match in pictures Swansea 1 West Ham 1 Andy Carroll strikes the ball home from long range to put West Ham ahead
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West Ham - the latest match in pictures West Ham 1 West Brom 1 Saido Berahino celebrates the equaliser
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West Ham - the latest match in pictures West Ham 1 West Brom 1 Diafra Sakho heads West Ham in front
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West Ham - the latest match in pictures West Ham 1 West Brom 1 New Baggies manager Tony Pulis was an eager spectator at Upton Park
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West Ham - the latest match in pictures West Ham 1 Arsenal 2 Cheikhou Kouyate pulls one back for West Ham
West Ham - the latest match in pictures West Ham 1 Arsenal 2 Danny Welbeck celebrates Arsenal's second
West Ham - the latest match in pictures West Ham 1 Arsenal 2 Santi Cazorla makes it 1-0 to Arsenal from the spot
West Ham - the latest match in pictures Chelsea 2 West Ham United 0 Andy Carroll shields the ball away from Cesc Fabregas
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West Ham - the latest match in pictures Chelsea 2 West Ham United 0 Oscar attempts to turn inside of West Ham left-back Richard Cresswell
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West Ham - the latest match in pictures Chelsea 2 West Ham United 0 Willian drives at the West Ham defence
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West Ham - the latest match in pictures Chelsea 2 West Ham United 0 John Terry pokes home to open the scoring for the second game in a row
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West Ham - the latest match in pictures Chelsea 2 West Ham United 0 Branislav Ivanovic and Andy Carroll clash after the Chelsea defender dived for a penalty
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West Ham - the latest match in pictures Chelsea 2 West Ham United 0 Diego Costa struck for his 13th goal of the season
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West Ham - the latest match in pictures West Ham 2 Leicester 0 Jamie Vardy puts a tackle in on West Ham midfielder Alex Song
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West Ham - the latest match in pictures West Ham 2 Leicester 0 Diafra Sakho challenges Leicester defender Marcin Wasilewski
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West Ham - the latest match in pictures West Ham 2 Leicester 0 Andy Carroll dinks the ball over goalkeeper Ben Hamer to put the Hammers in the lead
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West Ham - the latest match in pictures West Ham 2 Leicester 0 Carroll takes the applause after scoring his third goal of the season
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West Ham - the latest match in pictures West Ham 2 Leicester 0 Stewart Downing was also on target for the Hammers, who remain in third
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West Ham - the latest match in pictures West Ham 2 Leicester 0 Nigel Pearson is now 12 matches without a win
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West Ham - the latest match in pictures Sunderland 1 West Ham 1 Stewart Downing strikes home the equaliser to pull the Hammers level
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West Ham - the latest match in pictures Sunderland 1 West Ham 1 Jordi Gomez scores from the penalty spot to put Sunderland ahead
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West Ham - the latest match in pictures Sunderland 1 West Ham 1 Kevin Nolan remonstrates with Phil Dowd after he awards Sunderland a penalty
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West Ham - the latest match in pictures West Ham 3 Swansea 1 Wilfried Bony celebrates his opening goal
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West Ham - the latest match in pictures West Ham 3 Swansea 1 Andy Carroll makes it 1-1 against Swansea with powerful header
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West Ham - the latest match in pictures West Ham 3 Swansea 1 Andy Carroll heads in his second
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West Ham - the latest match in pictures West Ham 3 Swansea 1 Carroll celebrates his second goal
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West Ham - the latest match in pictures West Ham 3 Swansea 1 Lukasz Fabianski receives his marching orders
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West Ham - the latest match in pictures West Ham 3 Swansea 1 Sam Allardyce's team are now up to third in the Premier League
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West Ham - the latest match in pictures West Brom 1 West Ham 2 Nolan (left) is mobbed by his team-mates after his equaliser
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West Ham - the latest match in pictures West Brom 1 West Ham 2 Dawson puts West Brom in front with a header
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West Ham - the latest match in pictures West Ham 1 Newcastle 0 West Ham players celebrate their victory
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West Ham - the latest match in pictures West Ham 1 Newcastle 0 Mark Noble challenges Moussa Sissoko
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West Ham - the latest match in pictures West Ham 1 Newcastle 0 Aaron Cresswell fires home the only goal of the game
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West Ham - the latest match in pictures West Ham 1 Newcastle 0 Mauro Zarate holds off Sammy Ameobi
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West Ham - the latest match in pictures West Ham 1 Newcastle 0 Adrian clears his lines for West Ham
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West Ham - the latest match in pictures West Ham 1 Newcastle 0 Sam Allardyce and Alan Pardew patrol the touchline
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West Ham - the latest match in pictures West Ham 0 Aston Villa 0 James Collins leaps to clear a corner
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West Ham - the latest match in pictures West Ham 0 Aston Villa 0 Nathan Baker stretches out a leg to stop West Ham striker Diafra Sakho
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West Ham - the latest match in pictures West Ham 0 Aston Villa 0 Collins tussles with Gabriel Agbonlahor at Upton Park
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West Ham - the latest match in pictures West Ham 0 Aston Villa 0 Alex Song wins the ball in midfield ahead of Charles N'Zogbia
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West Ham - the latest match in pictures West Ham 0 Aston Villa 0 Enner Valencia sees a late strike saved by Villa goalkeeper Brad Guzan
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West Ham - the latest match in pictures West Ham 0 Aston Villa 0 The point ended a run of six straight defeats by Aston Villa
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West Ham - the latest match in pictures Stoke City 2 West Ham 2 Bojan and Morgan Amalfitano battle for the ball
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West Ham - the latest match in pictures Stoke City 2 West Ham 2 Geoff Cameron tries to get past West Ham midfielder Alex Song
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West Ham - the latest match in pictures Stoke City 2 West Ham 2 Victor Moses celebrates after putting Stoke into the lead
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West Ham - the latest match in pictures Stoke City 2 West Ham 2 Mame Biram Diouf made it 2-0 before half-time and Stoke looked like they were heading for three points
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West Ham - the latest match in pictures Stoke City 2 West Ham 2 Stewart Downing is mobbed after scoring the equaliser that handed West Ham a point
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West Ham - the latest match in pictures West Ham 2 Manchester City 1 David Silva and Vincent Kompany celebrate after Silva's stunning effort - but it wasn't enough
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West Ham - the latest match in pictures West Ham 2 Manchester City 1 Diafra Sakho and Enner Valencia celebrate what turned out to be the winning goal
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West Ham - the latest match in pictures West Ham 2 Manchester City 1 Sakho heads home his seventh goal in seven matches to put West Ham 2-0 up
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West Ham - the latest match in pictures West Ham 2 Manchester City 1 City midfielder Fernando tangles with West Ham's Cheikhou Kouyate
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West Ham - the latest match in pictures West Ham 2 Manchester City 1 Morgan Amalfitano gives West Ham the lead in the early part of the match, turning in a cross from Enner Valencia
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West Ham - the latest match in pictures West Ham 2 Manchester City 1 Barcelona loanee Alex Song was an impressive force for the Hammers in midfield
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West Ham - the latest match in pictures Burnley 1 West Ham 3 Carlton Cole nets West Ham's third
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West Ham - the latest match in pictures Burnley 1 West Ham 3 George Boyd gets a goal back for Burnley
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West Ham - the latest match in pictures Burnley 1 West Ham 3 Enner Valencia makes it two for the away side
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West Ham - the latest match in pictures Burnley 1 West Ham 3 Diafra Sakho opens the scoring for the Hammers
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West Ham - the latest match in pictures West Ham 2 QPR 0 West Ham players celebrate the win at Upton Park
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West Ham - the latest match in pictures West Ham 2 QPR 0 Diafra Sakho heads in West Ham's second
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West Ham - the latest match in pictures West Ham 2 QPR 0 Nedum Onuoha puts the ball in his own net
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West Ham - the latest match in pictures Manchester United 2 West Ham 1 Wayne Rooney is shown a red card by Lee Mason
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West Ham - the latest match in pictures Manchester United 2 West Ham 1 Wayne Rooney kicks out at Stewart Downing
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West Ham - the latest match in pictures Manchester United 2 West Ham 1 Diafra Sakho scores for West Ham as his header loops over Robin van Persie
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West Ham - the latest match in pictures Manchester United 2 West Ham 1 Radamel Falcao has an effort on goal
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West Ham - the latest match in pictures Manchester United 2 West Ham 1 Robin van Persie and Luke Shaw go for the double-high-five after the striker scores for United
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West Ham - the latest match in pictures Manchester United 2 West Ham 1 Robin van Persie doubles United's lead against the Hammers
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West Ham - the latest match in pictures Manchester United 2 West Ham 1 Wayne Rooney opens the scoring for United
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West Ham - the latest match in pictures West Ham 3 Liverpool 1 Morgan Amalfitano wraps up the points for West Ham with a neatly taken finish
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West Ham - the latest match in pictures West Ham 3 Liverpool 1 Raheem Sterling fires in to claim a goal back for the Reds
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West Ham - the latest match in pictures West Ham 3 Liverpool 1 Diafra Sakho makes it two for the Hammers
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West Ham - the latest match in pictures West Ham 3 Liverpool 1 Winston Reid celebrates after opening the scoring after just 90 seconds
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West Ham - the latest match in pictures Hull 2-2 West Ham Enner Valencia's rocket for West Ham makes it 1-1
West Ham - the latest match in pictures Hull 2-2 West Ham Abel Hernandez puts Hull ahead with a header
West Ham - the latest match in pictures Hull 2-2 West Ham Hull's Mohamed Diame (left) challenges West Ham's inston Reid (right)
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West Ham - the latest match in pictures West Ham 1 Southampton 3 Graziano Pelle celebrates his goal
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West Ham - the latest match in pictures West Ham 1 Southampton 3 Morgan Schneiderlin levels the score line
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West Ham - the latest match in pictures West Ham 1 Southampton 3 Mark Noble celebrates his opening goal
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West Ham - the latest match in pictures West Ham 1 Southampton 3 West Ham reveal Alex Song as their new signing
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West Ham - the latest match in pictures Crystal Palace 1-3 West Ham United Sam Allardyce will have enjoyed this victory as supporters continue to call for his head.
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West Ham - the latest match in pictures Crystal Palace 1-3 West Ham United Carlton Cole reestablishes West Ham's two goal advantage after 62 minutes - much to the dismay of the home supporters.
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West Ham - the latest match in pictures Crystal Palace 1-3 West Ham United Marouane Chamakh gives Crystal Palace an inkling of hope after scoring in the 48th minute.
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West Ham - the latest match in pictures Crystal Palace 1-3 West Ham United Mauro Zarate celebrates his opening goal with his West Ham teammates after putting the Hammers ahead in the 34th minute.
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West Ham - the latest match in pictures Crystal Palace 1-3 West Ham United Keith Millen was once again in temporary charge after Malky Mackay's appointment was cancelled over his texting scandal.
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West Ham - the latest match in pictures Crystal Palace 1-3 West Ham United The Selhurst Park faithful were as intimidating as ever as London rivals West Ham United came to town on the second weekend on the season.
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West Ham - the latest match in pictures West Ham 0 Tottenham 1 Tottenham players and fans celebrate Eric Dier's late winning goal on his debut to sink West Ham
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West Ham - the latest match in pictures West Ham Tottenham James Collins is shown a red card after picking up a second booking to level the teams at 10-men-a-piece
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West Ham - the latest match in pictures West Ham Tottenham Sam Allardyce watches on as Mauricio Pochettino gestures following the sending off of Kyle Naughton
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West Ham - the latest match in pictures West Ham Tottenham Mark Noble sends his penalty attempt wide of the left post as Hugo Lloris dives the wrong way
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West Ham - the latest match in pictures West Ham Tottenham Kyle Naughton walks off the pitch in disappointment after being sent-off for a deliberate handball
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West Ham - the latest match in pictures West Ham Tottenham Kyle Naughton is shown a straight red card for a deliberate hand ball
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"It's not often a team are breaking the barriers everybody else doesn't expect them to break," Allardyce said.
"You should enjoy the moment and continue to enjoy the moment for as long as it lasts. Hopefully it will last for a good while yet.
"We've sustained our position between sixth and fourth in recent weeks. We've a considerable amount of games now. The end of January will tell us what we can possibly achieve.
"It's about the consistency of winning and that is what we've got to challenge ourselves to try to do. You can't afford to slip up too many times if you've played well and you don't win, because you'll end up slipping away and out of the elite end of this league.
"At the moment we're living with it, we're enjoying it and the players who have applied themselves magnificently well all season are reaping the rewards."
Leicester, whose winless run was extended to 12 games, were culpable as West Ham claimed a fourth win in five games.
Paul Konchesky, Barking born and playing against his old club, presented Carroll with the opening goal moments after the Hammers striker had missed a straightforward opportunity.
But there was little Leicester could do to stop Downing's strike, as the playmaker curled a sumptuous shot into the far corner.
Adrian saved well to deny substitutes David Nugent and Leonardo Ulloa late on as West Ham kept a cleansheet in a comfortable win.
The only negative for Allardyce was James Tomkins' departure, as a precaution, due to a hamstring problem.
"We've had a very good day," Allardyce added.
"Everybody expected us to win. We have won. That gives us a little bit of leeway for the next two coming up."
On the goals, Allardyce said: "A very composed finish from Andy on a one-on-one. He missed an easier chance before that.
"The whole team is playing really well, but Stewart crowned off a very good performance again with another goal. His outstanding contributions on a consistent basis have been a revelation for us this season."
While West Ham are on a high, Leicester are bottom.
Only twice before - West Brom in 2004-2005 and Sunderland last season - have the side at the foot of the Premier League standings on Christmas Day avoided relegation.
Leicester boss Nigel Pearson rued his side's failures in both attack and defence.
"Individual mistakes have been costly for us, but you've got to score enough goals and we've just not been doing that," Pearson said.
Pearson was fined £10,000 and given a one-match touchline ban following his altercation with a fan during last month's loss to Liverpool.
But Pearson, who often watches from the stand, was on the touchline at Upton Park as he awaits the written reasons for his punishment from the Football Association.
The supporters sang about the Foxes boss early in the contest.
"It's not a story about me," said Pearson, whose side host Tottenham on Boxing Day.
"What is important is that the fans stay behind the club and the players."
Pearson has experience of a great escape, having been assistant boss to Bryan Robson at West Brom when they survived on the final day.
"It really is about us making things happen ourselves," Pearson added.
"I look around the dressing room and we've certainly got nobody who's giving up any sort of a fight.
"We're a side experiencing the polar opposite of what we experienced last year and that in itself is difficult. Get back to work and find the answers."
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