The Hoops boss said: “I’m not surprised. It’s another demonstration of where the team is at and the qualities they’ve shown that Craig is speculated about. It’s testament to him and the team.
“There is a lot of speculation about many of our players. It’s credit to them that they’re performing so well that these great clubs are interested in them.
“You can see how calm he is. He is 34 years old, he can go on for a number of years and be a real pillar of this team.
“His contract is up at the end of the season, but the club have an option. Selling Craig is not something we would even consider. He is someone I want to lock down for during my time here.
“He’s a good guy, he’s very happy in his life and he’s enjoying playing this style of football. It’s given him a real edge to his game.
Rodgers believes the spell on the sidelines through injury that jeopardised Gordon’s career will ensure he remains at Parkhead.
“The beauty about Craig is that he has had that trauma of not playing. Speaking to him, he loves playing football and there was a time when he thought his career was done.
“But he is now fitter than ever and playing at the best level he’s ever been, according to him. His game knowledge is at a high level.
“Craig’s in a good place and we want to keep him. Of course, it’s an honour these clubs want our players, but he knows this is a huge club and he he knows what we are trying to build here.”