The White Hart Lane outfit have surpassed all expectations this season, and are in third place in the standings.
Despite the excellent form that Harry Redknapp’s men are showing, King feels that it is important his side do not get carried away.
“We are in a great position at the moment and have probably surprised a few people,” the centre-back told talkSPORT.
“At this stage of the season, to be talked about as still capable of winning the title is great for us.
“We are not getting too carried away at the moment, though. We are just getting our heads down and grinding out results.
“We look at the league table and we can see we are in amongst it.
“That is new to us and maybe people would expect us to fall away in the second half of the season but, as players, we believe in our ability and we believe we can keep getting results.
“We have lost just one in the last 19 and that is great form. If we keep it up then we are in with a chance,” he concluded.
Spurs take on leaders Manchester City at the Etihad Stadium on Sunday, in what will be a real test to their title aspirations.
By Gareth McKnight