The full-back, who has established himself in the side this season and made his full England debut, sees no reason why Spurs cannot continue their unbeaten run of 11 matches
Spurs are unbeaten in 11 matches, a run which includes 10 wins and has propelled them into third place behind Manchester United, and have a game in hand to overtake them.
And 21-year-old Walker says the strength in depth shows that Tottenham have enough talent to keep the pressure on Manchester City.
"Why not? It's not impossible with the players we have got in the changing room," Walker told Sky Sports News.
"You look around at the players who aren't getting games and sometimes I can't believe that I am even playing. There is quality and top-class players in there who are all internationals.
"It's great to be around the lads because none of them have got egos, we all work as a team and it's enjoyable to be around.
"I always thought that I could do it, I just needed to be given the chance to prove to the gaffer here and to the supporters that I can play for Tottenham and I can play in the Premier League."
Walker has made giant strides this year and even made his full England debut in 1-0 win against Sweden.
However, he appreciated the grounding given to him during loan spells at QPR and Aston Villa last season.
"I went to QPR, who were top of the Championship, and they were unbeaten in a few when I went there, so it was good to get the confidence that I needed," he added.
"Then I got the Aston Villa chance, which was a massive step in my career. I owe a lot to Gerard Houllier, who was the gaffer there then, for putting trust in me."
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