The former Arsenal defender believes that the Foxes will begin to feel the nerves.
With eight games to go in the top flight, Claudio Ranieri's men have a five point lead over Spurs, while Arsenal and Manchester City are 11 and 12 points adrift respectively having both played a game less than the top two.
Despite their commanding lead however, and their recent run of form - where they have won three and drawn one in their last four games - Keown claimed that he has started to see something in the leaders to suggest that Mauricio Pochettino's men will be able to swoop in.
"Even though a lot of people seem to think Leicester have got one hand on the trophy, I don't think they will win the league. I think Tottenham will and I feel that more strongly now than I have done at any point this season," he told the Mail.
"People say don't put the mockers on Leicester and nobody knows what will happen but it's our job as pundits to make a prediction. I think that when you look at the fixtures to come and you see how Leicester performed on Monday against Newcastle, you can see the nerves building."
Unlike Leicester, Tottenham's recent form has been slightly underwhelming in recent weeks, with their victory over bottom side Aston Villa being their only win in their last three league games. But Keown suggested that the togetherness in the Spurs squad should be enough to get them across the line.
"I see a Tottenham team in the distance with a good group of young players, all eager and playing together with a home game against Bournemouth while Leicester have a tricky away fixture at Crystal Palace," he added.
While the last time that either side won the top flight was back in 1961 - and in fact, Leicester are yet to win the league title at all - Tottenham's greater experience battling near the top of the table may well be what decides the destination of the trophy.
Although the Foxes were able to kick into another gear in the latter stages of last season to miraculously stay up, Pochettino's men have a better idea of how to sustain a high level of performance right through the entire season, so may find it easier to make that final step than their rivals would.