The Reds boss admitted he is in the market for January reinforcements, after seeing the best and worst of his side in a 5-3 win at Stoke City on Sunday.
While Rodgers will have undoubtedly been impressed by his side's offensive performance, with Luis Suarez grabbing a brace and Daniel Sturridge returning with a late goal, but there remain palpable question marks over a defence that allowed the Potters to claw themselves level having been 2-0 down at one point.
The Reds have been linked with a host of names already but there does not appear to be anything on the horizon for the club, with Rodgers only looking to buy if a suitable option becomes available.
"We'll see what's available, there's nothing at this moment in time but we'll see how the market goes over the next few weeks," he told reporters.
"I would still like to strengthen if I could. It's something we would like to do, but only on the basis that there's the right quality there that can strengthen us."
Here are five players who Rodgers could move for to bolster his squad...
The 21-year-old Basel winger has been heavily linked with a move to Anfield throughout the window but fresh rumours in recent days have suggested the Egyptian may opt for a move to Russia, with Zenit.
Salah would add depth in wide areas and offers pace, tricks and an eye for goal to boot.
The Barcelona right-back recently admitted he is in no rush to commit to a new deal at the Camp Nou and Liverpool could exploit any uncertainty over his future this month with a concrete bid.
It has previously been reported that Reds managing director Ian Ayre jetted out to Spain to open initial talks with the 22-year-old's representatives. It is not clear, however, whether the club will follow up on their interest.
The French midfielder is the perennial transfer window target for Premier League clubs and Liverpool are believed to be the latest English outfit looking at prising M'Vila away from Rubin Kazan, where he has failed to sparkle.
The Porto defensive midfielder's contract expires this summer and he is free to discuss terms with overseas clubs this month ahead of a summer move, or he may even complete a transfer in January to add to Rodgers' midfield options.
Perhaps the least likely of the quintet and most surprising, the young Scottish left-back continues to impress for Dundee United in the SPL. His form has reportedly alerted the Reds, as well as Merseyside rivals Everton, as Rodgers looks to solve a predicament at left-back.
Jose Enrique remains sidelined, Jon Flanagan is inexperienced (although so is Robertson) and Aly Cissokho's loan spell has not quite gone according to plan. Robertson is certainly one for the future but could offer some much-needed depth to the problem position.
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