In last month's league win, the injury was worsened by Vardy.
The strain on the squad is still being felt, but it's not as bad as it could be because of the return of Jamie Vardy and Jonny Evans.
Evans had surgery for a problem with his legs.
He will be April because he had an operation, said Rodgers, who will attempt to buy a centre-back in January.
He said that there was a little bit of time, but that it was pressing.
Centre-half is a critical position.
We have to compromise to get the type and profile you need for your team.
The team in 10th place has conceded more goals in the league than any other team.
Caglar Soyuncu, who has not played since limping out of the Carabao Cup quarter-final defeat at Liverpool on December 22, is set to return for the league game against Burnley on January 15.
A knee injury sustained in an FA Cup win over Brighton last February has kept James Justin out for nearly a year.
He will play in an under-23 team game on Saturday as he builds up to a first-team comeback.
