Bellamy has long been linked with a move to former club Cardiff, but Rodgers insists the striker will stay at Anfield.
“I had a really positive chat with Craig on Monday,” Rodgers said.
“It was good to meet him and get his side of the Liverpool story. He’s a big supporter of this club – he loves the club.
“He’s a good guy. He has a real passion for Liverpool Football Club and that’s the type of people I want here.
“I like his intensity, his work-rate and his passion so I would love him to be here.
“He’s a player. It would take a really special and unique opportunity for Craig to walk out of Liverpool and for us to go our separate ways.
“If anything changes on that from a personal perspective then him and I will talk about that.”
