He recently admitted he would be interested in joining Queens Park Rangers after being mooted as a target for the Championship club.
But, after replacing Paul Robinson as Spurs' first choice in recent games, Cerny is keen to stay at White Hart Lane.
"My contract ends at the end of the season and there is no reason to think about it now," Cerny told Galaxie Sport. "We will see how it will turn out."
When asked if he wanted to stay, Cerny replied: "Definitely. I would love to stay at Tottenham and now it just depends on them if they will come up with something."