Daniel Sturridge is Rodgers' sole piece of January business so far, but he admits his squad is a little stretched and would like to add reinforcements.
Rodgers told the club's official website: "We'll see what happens over the course of the next few weeks.
"Daniel was our main priority and we'll have to see what else is available.
"There's no doubt we need to support the group. We had 20 players training this morning, of which some of those are our younger players, so we know we need to reinforce and top up the group. That's something we'll look to do.
"If we can do it then great and if not, then we'll wait until the summer."
But it appears that Inter Milan midfielder Wesley Sneijder is not one of the players on his radar.
Rodgers added: "You could probably rattle off about 20 names and the answer would be the same. The club have been linked with a whole host of players, but I couldn't see that happening."