Liverpool - as well as Arsenal - were heavily linked with a swoop for Lemar in the summer window but a deal never materialised.
Reports have claimed that the Merseyside outfit are trying to revive the deal, but suggestions of a transfer were initially batted away by Jardim.
Now, the Monaco boss has told reporters that there could be some movement before the month is out.
"We are not used to selling in the winter," L'Equipe quotes Jardim as saying. "But the transfer window lasts until the end of the month and many things can happen."
Liverpool have made one signing already in this window - the £75m capture of Virgil van Dijk from Southampton.