Many of Everton's top names are being linked with big money moves as the club looks to balance the books, with newspapers also claiming a deal has already been agreed to take Jack Rodwell to Manchester United.
Moyes said of the Baines rumours: "I can't see it. It's not for me that one and I think Liverpool know that as well.
"Nobody will leave the club unless I give it the go-ahead and that won't change.
"We have signed Leighton on a five-year deal. I don't want to sell him and Everton don't sell cheap.
"The chairman looks after the players and gives them what he can. So Leighton's not for sale - and they know that as well."
Liverpool have also been linked with Newcastle's Jose Enrique.