The defender is their the club's longest-serving player, but his current deal expires in the summer and he has been warned by boss Harry Redknapp that he will not receive a new one if he does not prove his fitness.
The 30-year-old’s chronic knee complaints saw him limited to just six first-team appearances last season. King is currently recovering from the latest injury setback, but he is confident he can get fit and prove his worth to the team.
"This is my biggest season at Spurs yet," King told reporters.
"It is the first time I have been in a situation like this - when my contract is up. So it is a big season.
"I have to prove I am still worth it. I can't see myself pulling on a shirt for anybody else at this stage of my career - although a player can never say never.
"At the end of the day, I just want to stay fit and if I can play, let's see what position that puts me in at the end of the season.
"It is down to me to play the games. If I don't play enough games, it is a difficult position.
"We will see what the situation is when all is said and done. If I get to 20 [games], I am not going to stop! I will keep playing as many as I can.
"At the moment I am just trying to bed in, get a bit of fitness and hopefully not get any niggles. If I can do that, I can get stronger and keep playing."