The 21-year-old has been a revelation at full-back at White Hart Lane this season and has impressed enough to be given his full England debut by Fabio Capello against Sweden.
Spurs travel to the Britannia on Sunday, knowing if that if Manchester United slip up against Wolves the day before, Harry Redknapp's side could potentially go second in the table.
Walker told The Sun: "If we keep playing the football we do, who knows where we can finish up?
"But we are not getting big-headed. We are looking forward to the game against Stoke. These are the sort of games you need to pick up three points from if you are going to be contenders.
"You know what you are going to get from Stoke, the long throw-ins and the knockdowns, while Peter Crouch poses a threat as we well know.
"Anything they throw at us we are more than capable of dealing with."
Spurs have been in fine attacking form this season, with Rafael van der Vaart, Emmanuel Adebayor and Gareth Bale receiving plaudits throughout the term, and Walker admits it is a pleasure to play with such gifted footballers.
"Sometimes at the back I just stand there and watch," he beamed.
"I feel like clapping myself. Some of the football Luka Modric, Rafa van der Vaart, Manny Adebayor, Jermain Defoe and the two wingers [Aaron Lennon and Gareth Bale] play is a joy to watch and it's a joy to play with them. An honour really.
"They've got a number of Premier League games under their belts and are very experienced. We have that all the way around the park.
"I played with Brad Friedel at Villa and it's good to have him behind you talking to you and guiding you through the game.
"I'm up for learning. What's happened to me in the last two years, coming from Sheffield to where I am now, is crazy."
How do you stay up with football when on the move? With http://m.goal.com – your best source for mobile coverage of the beautiful game.