Suarez was expected to leave Anfield during the transfer window, with Arsenal and Real Madrid both strongly linked the the striker, but Rodgers said that the player is more than happy at the club.
"I haven't been given anything [but commitment to Liverpool]," Rodgers told PA. "Looking and speaking to him Luis is as happy as he has ever been.
"He recognises we have a real genuine chance this year of breaking in [to the top four]. Last year was about transition and the second season was about improvement and he has seen that.
"He had a difficult summer but he has come back and he is more mature and his performance level has been really high. He sees a genuine chance for us. He is happy here."
Suarez has scored six goals in five league games since returning from suspension.