Lemar has been linked with a move away from Monaco this month but the club insist he will stay put.
However the story has taken a turn after Lemar was left out of the squad for the match with Marseille today.
And Liverpool fans believe that to be a sign he is on his way to Anfield.
“WELCOME TO LIVERPOOL LEMAR!!! YNWA,” one fan wrote.
Another added: “Monaco have signed an attacker and Lemar isn’t in the Monaco squad.”
Lemar would act as a replacement for Philippe Coutinho who moved to Barcelona in a deal worth £142m earlier this month.
Lemar has also been linked with Arsenal after they tried to sign him on deadline day in the summer.
But their efforts have switched to Pierre-Emerick Aubameyang after doing the Henrikh Mkhitaryan-Alexis Sanche swap deal last week.
Lemar, 22, Has scored just twice and has five assists in Ligue 1 this season and is rated at £90m.
But he impressed last term as Monaco won the league and reached the Champions League semi-finals before the fire sale in the summer.