Sturridge has not played for the Reds since the 3-0 win over Tottenham in August, having suffered two thigh injuries and a calf problem which has kept him sidelined.
The 25-year-old has recently been undergoing rehab in the U.S in order to quicken his recovery. January is a busy month for Liverpool as they look to step up their challenge for the top four in the Premier League, begin their participation in the FA Cup, and look to reach the League Cup final with a two-legged semi-final against Chelsea.
Rodgers said he does not anticipate much action from the Reds in the upcoming transfer window, despite the club being linked with offloading and bringing in strikers.
He told reporters: "There won't be much if any transfer activity from us during the January transfer window.
"I don't think January is a good time to spend. I'm happy with how the group is progressing after tough start to the season.
"If there’s something that can improve us, I’ll take that to the owners."
In terms of players available for the clash with Leicester City, Dejan Lovren is still a doubt for the first game of 2015 with a groin problem, but Rodgers expects him to be available for the FA Cup tie against AFC Wimbledon on Monday if he misses tomorrow's game.