The 27-year-old Slater has been released by Ipswich and the Leicester manager, Martin O'Neill, said: "We have offered him the chance to come here so we can have a look at him." Slater will make a decision when he has recovered from an Achilles tendon injury.
Leicester's Swedish defender Pontus Kamark is set for his comeback to Premiership football. The 27-year-old full-back has been out of action since January after rupturing knee ligaments in his second game for the club, but has made an incredible recovery. "My knee has healed completely and feels very strong, but I do not have my full speed," he said.
Kamark came through a specially arranged friendly against Aston Villa on Monday and could now be thrown straight in against Liverpool at Filbert Street on Sunday. O'Neill said: "Having him back in action will be a great boost to our Premiership hopes. He's a crucial part of our plans."
David Beckham, the Manchester United midfielder, is the Carling Player of the Month for August. The London-born 21-year-old started the campaign by scoring in the 4-0 Charity Shield victory over Newcastle United.
He also hit the target on the opening day of the Premiership campaign with his audacious halfway-line chip as Wimbledon were beaten 3-0.
That helped win him an England debut in the 3-0 World Cup qualifying win in Moldova, with the national coach, Glenn Hoddle, a member of the Carling No 1 awards panel.
Explaining their choice, the awards panel said in a statement: "David Beckham's stunning strike against Wimbledon reminded the world that as well as being able to afford the best, the Premiership can also produce the best.
"The youngster's all-round ability is a tribute to the youth system that produced him and is further proof that this country's young stars are as good as any in the world."
As well as the Carling Player of the Month trophy, Beckham, who scored his third goal of the season in the 1-1 draw against Derby, will collect pounds 250 and a magnum of Carling champagne.