Salah, club captain Virgil van Dijk and England defender Trent Alexander-Arnold are all out of contract at the end of the season.
Liverpool boss Arne Slot says he is not concerned that the trio can, in theory, sign pre-contract agreements with foreign clubs from 1 January.
“I think I have a lot of control over what they do,” Slot said. “If they’re on a training pitch, if they’re in a meeting with me… but talking about the private lives, I don’t have control about them.
“I have control to a certain extent over them, from what I expect from them on the pitch, and I’m really pleased to see what Virgil brings, what Trent brings and what Mo (Salah) brings.”