The Blues' second offer for Fofana is thought to have been close to the £65million mark but Leicester are thought to value the 21-year-old in excess of £80m, which is the current world record fee for a defender.
Asked whether there had been a third bid for Fofana, Rodgers said: "Not that I am aware of. There were two (bids) but again nowhere near what the club would even think about. The point again to reiterate is we are not looking to sell Wesley, that's the key point.
"He's not a player we are actively looking to move on but naturally if there is interest from other clubs then of course that is looked at by the club.
"He's a top young defender and there are not too many about at his age. He's someone we'd love to keep here but we have to wait and see what develops."
Rodgers added: "Another year here for him at least would be really important for his development, but he is quite calm and relaxed in the situation. He is aware of the interest.
"He understands where we are as a club and where we see him. He's just getting on with his work and training well, and whenever there is any communication we are able to have a conversation."