The Reds are leading the race to bring the Monaco man to Anfield ahead of Juventus and Premier League rivals Arsenal.
Liverpool have had a busy January, bringing Virgil van Dijk in but selling Philippe Coutinho to Barcelona for £142m.
And the bookies think there could be even more business done before Wednesday’s deadline with Lemar possibly joining.
BetStars Director of Trading Ian Marmion said: “Liverpool’s long-term target Thomas Lemar is edging ever closer to Anfield and the Reds are now priced at 5/2 to sign the French winger.
“The 22-year-old has long since been admired by Jurgen Klopp and would be a great replacement for Philippe Coutinho with the Monaco star capable of adding even more pace and dynamism to an already strong Liverpool attack.
Liverpool’s likely line-up to face West Brom at home in FA Cup
Liverpool FC
“Liverpool’s long-term target Thomas Lemar is edging ever closer to Anfield”
BetStars spokesperson
“Serie A champions Juventus are also looking to freshen their attacking line and Lemar could be the perfect candidate.
“They are priced at 4/1 to bring the Frenchman over to Turin.
“Arsenal and Barcelona have also expressed their interest in the forward and are available at 8/1 apiece.
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“Chelsea and Tottenham have Lemar on their radar but are priced at the lengthier 10/1 and 12/1 respectively.”
Lemar has struggled for form this season, netting three times and providing four assists in 23 appearances.
But the 22-year-old was instrumental in helping Monaco to the semi-finals of the Champions League last season.
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And Liverpool boss Jurgen Klopp is a known admirer of Lemar.
The Reds return to action tomorrow against West Brom in the FA Cup fourth round.