"He's certainly not someone we want to sell or move on," said Rodgers, following rumours of an imminent bid from Manchester City. "He has been a brilliant player to work with and we want to add to our squad - not take people out of it, especially a world-class player.
"We'll continue to work and stay focused on what we're trying to achieve. Luis has already shown in the summer his commitment to the club.
"He signed a new deal and you've seen up until this point, he's in a great moment in his footballing life here at Liverpool. He's scoring goals and working well.
"I'll just continue to communicate with all the players and Luis in particular. He is very, very happy here.
"There will be no bidding war. He is staying here."