Rodgers admits he'll be in the market for an experienced centre-back.
"We're going to be light in that area. We have to assess it between now and the end of the season," he said.
"That's the one area of the field where we haven't brought anyone in. We've brought midfield players and front players into the group, but as of yet there has been no one in that area.
"We're going to lose Jamie, which is a big loss. There is no player that is irreplaceable but he's a big loss.
"You see his experience and how he leads the line, and when you're playing as a defender you need someone who is vocal in there who can organise the line. He does that remarkably well.
"But I've also got really good players here. Daniel Agger and Martin Skrtel - we've got some really, really good players.
"Between now and the end of the season we know we need to strengthen the group and that's something we'll look at doing."