Liverpool defender Jon Flanagan believes their title rivals cannot fail to be worried by the Reds' challenge.
A 3-0 victory at Manchester United on Sunday underlined their credentials to make a bid for a first championship since 1990, and afterwards captain Steven Gerrard insisted they are genuine contenders.
Liverpool are four points behind leaders Chelsea with a match in hand, ahead of Arsenal on goal difference and two points in front of Manchester City, although Manuel Pellegrini's side have played two matches fewer.
"I think they are going to be worried," said Flanagan.
"We put a marker down (at Old Trafford). I think we are ready to push on and keep going.
"We all believe but our priority was top four at the start of the season. We are on track for that and anything else is a bonus.
"It's always good when you see other teams around us getting beat. We saw the Chelsea result (losing at Aston Villa on Saturday) but we just concentrate on ourselves.
"We are just taking it a game at a time and keeping our feet on the ground."
Manchester United 0 Liverpool 3 player ratings
Manchester United 0 Liverpool 3 player ratings
1/24 David de Gea 6/10
Nowhere near any of the three penalties. Slightly made amends with a late stop from Suarez from close range, but then beaten again minutes after
2/24 Rafael 5/10
Lucky to remain on the pitch for the second period after an ugly tackle on Gerrard and then handball for the first penalty. Offered little in attack, too
3/24 Phil Jones 4/10
Confused by the movement of Sturridge, who ran rings around him. Recklessly charged out like a bull in a china shop to concede the second penalty.
4/24 Nemanja Vidic 3/10
Unlucky for second yellow for lunge at Sturridge, but, like most of his team-mates, looked well off the pace. His Italian retirement home awaits
5/24 Patrice Evra 4.10
Endured a painful afternoon. Could not cope with the pace of Sterling and Sturridge – and had to deal with pair on his own with little help from Mata
6/24 Juan Mata 4/10
Alienated on the wing, and did not track back to help Evra at all, constantly leaving space for Liverpool to exploit – which they did.
7/24 Marouane Fellaini 3/10
Had some success with interceptions early on, but, like Carrick alongside him, was run ragged as the game wore on. Another lacklustre display.
8/24 Michael Carrick 4/10
Pulled apart by the movement of Liverpool’s midfield. Could have conceded a fourth penalty with clumsy foul on Sturridge late on as well.
9/24 Adnan Januzaj 5/10
A couple of bursts forward made it look like he could provide the spark for United, but grew more and more anonymous, and timid.
10/24 Wayne Rooney 6/10
Had United's only real chance, when his powerful effort was saved by Mignolet.
11/24 Robin van Persie 5/10
Cut a frustrated figure. Struggled to get in the game and kept turning away from goal into blind alleys whenever he got a sniff of the ball.
12/24 Best of the bench: Danny Welbeck 4/10
Replaced the ineffective Januzaj with 15 minutes remaining, and although a willing runner, he chased shadows like his demoralised team-mates.
13/24 Simon Mignolet 7/10
Impressive stop from Rooney’s driven effort was the only time he was called upon. Then just watched the masterclass like everyone else
14/24 Glen Johnson 7/10
The right-back put in a solid shift, although was hardly in the thick of it such was United’s tame attacking. Did everything that was asked of him well
15/24 Martin Skrtel 7/10
The busier of Liverpool’s centre-back pairing, sticking close to Van Persie. But he struggled at times when Rooney decided to power into the box.
16/24 Daniel Agger 7/10
Beaten too easily by some early breaks from Rooney, but the Danish defender was comfortable for the majority of the match.
17/24 Jon Flanagan 7/10
Clattered about early on in the match but did not give Januzaj or Rafael any joy at all in a no-nonsense performance from the 21-year-old.
18/24 Steven Gerrard 9/10
Ended the match with a nose bleed as Liverpool entered nose-bleed territory in deserved fashion. A quite brilliant performance from the captain
19/24 Joe Allen 8/10
Usual great distribution of the ball, but was also happy to do the dirty work, putting in important blocks to launch his team on the attack.
20/24 Jordan Henderson 8/10
Sharp as a tack and always on the move. Has added incisiveness to his game this season. Something Carrick and Fellaini sorely lacked.
21/24 Raheem Sterling 7/10
Looked to get involved in every Liverpool attack, buzzing around the pitch. Neat and tidy with his passing in a more central midfield position
22/24 Luis Suarez 8/10
Put the icing on the cake with astute finish past De Gea in the final stages. Dropped a little bit deeper for maximum impact and terrorised poor Jones.
23/24 Daniel Sturridge 8/10
His pace and movement constantly troubled the United defence but was wasteful in front of goal. Unfair tumble to win the third penalty.
24/24 Philippe Coutinho 7/10
Came on for Sterling with 18 minutes remaining and nearly helped himself to a goal in closing stages but dragged a long-range effort wide.
Liverpool's defence has come in for criticism recently but have now had back-to-back clean sheets after conceding for five games in a row.
"All the lads are working hard," added Flanagan.
"We have had a bit of criticism about our back four lately but we have been working hard in training and keeping it tight.
"To keep clean sheets has been great for us and hopefully we can keep many more.
"It's not just the back four, it's the whole team working hard in defending as well, so the manager has been working hard and we are just trying to put that in our game."
Manager Brendan Rodgers insists he has not banned his players from talking about a possible bid for the title.
Rodgers has long played down the likelihood of his side winning a first league championship since 1990 and does not intend to start promoting their chances now, although he is happy for his players to use it for inspiration.
"I've not banned it (talk of the title). We have better things to talk about," he said.
"It is about improving and getting better. I don't lose sleep over it.
"We are up there on merit so of course we have an opportunity. I didn't say [we have] no chance. If you think we have a chance then write it.
"I try to not expect so much and let the players do the talking. We try to remain dignified in our work and our players are doing all the talking.
"We will focus on the next game against Cardiff. I think other teams will drop points - we may well drop points, we may not - but I can only look at our next game and I've done that since I walked through the door, and I'm not going to change."
Liverpool recorded their first victory at Old Trafford since 2009 and only their 16th league win on the ground in 118 years thanks to two Gerrard penalties and a late third from Luis Suarez.
"We've showed that we are genuine contenders and we are going to fight to the end for this," Gerrard told Sky Sports 1.
"We believe it but I've said many times that in football the easiest thing to do is talk the talk.
"We've got to go and treat Cardiff like Manchester United and we've got to treat Sunderland like Manchester United.
"If we do we will win a lot of games until the end of the season. The rest of the teams around us have to believe we're going for it."