Spurs boss Harry Redknapp revealed he is keen to tie the 29-year-old down to a new contract with the north Londoners earlier this month but King claims he is yet to open talks.
He said: "Once I am fit and playing games, I am sure that is something I will look at.
"But it is not something I am worried about. I just want to make myself available, but once I get fit and get a run it is something we will look at.
"There is an option from the club's side but there is not much I can say about that.
"Hopefully I can play as many games as possible and just see where that takes us."
It has been suggested that Spurs would prefer King to sign a pay-as-you-play deal due to his persistent knee complaint. King does not participate in full-training because of his knee problem and is limited to one game a week.
King remained tight-lipped over the prospect of a pay-as-you-play deal and claimed not to have considered it an option.
He added: "It (pay-as-you-play) is not something I have thought about,
"I just want to stay fit and playing games and once we do sit down I will have my thoughts."