And Rodgers conceded it will not be easy to persuade him to change his mind.
"In the run of games Martin Skrtel has had, he's gained confidence and that has meant I've acknowledged and recognised that he's playing at a really good level," said Rodgers.
"I've always tried to show fairness with the players.
"If you are playing well, you'll play. If you're not, you'll be in and out of the team." Meanwhile, midfielder Lucas believes Luis Suarez's commitment to the Reds can no longer be questioned with the Uruguayan determined to lead them into the Champions League.
Suarez, 26, made it clear in the summer that he wanted to leave but Liverpool stood firm after Arsenal bid £40,000,001 in the misguided hope it would activate a release clause in his contract.