Walker, who signed a contract extension last July - committing him to Tottenham until 2016 - has no interest in leaving White Hart Lane.
He told the Sunday Mirror: "It's flattering to be linked with some big clubs, but, as far as I'm concerned, I'm playing for a very big club and I can fulfill all my dreams at Spurs.
"Why would I even consider leaving? It's not even open to debate. I owe a debt of gratitude to the club and the manager, Harry Redknapp, and I couldn't be happier and more grateful.
"Besides, I am not going to get carried away and I have a good group of people, including my agent, family and friends, who ensure I keep my feet firmly on the ground."