Spurs kept their slender hopes of a top-four finish in the Premier League alive this weekend with a 3-1 victory over struggling Fulham.
Kane was among the goalscorers in the victory at White Hart Lane, and he insists the players are concentrating on winning their remaining games against Stoke, West Ham and Aston Villa above all else.
"I think all the players have got on with it," the England U21 international said.
"You can see against Fulham and recent performances we've been playing great, we've been scoring goals.
"All the players are focused on the games ahead.
"We're just taking each game as it comes. We've got three more games and we want to win all three, then wherever we end up, we end up.
"They are three winnable games and we'll take this into the next one."
The 20-year-old maintained his recent run of scoring in Saturday's match, and he hopes to add a few more before the end of the season.
"It has been great to get the chance to get the goals," Kane added. "I obviously have three in three now and hopefully will get more between now and the end of the season.
"Tim has given me the chance and at this level you've got to take it. You've got to take your chance every game and I have been able to do that so far to keep my place in the team.
"There is competition at every level and you have to perform at a high standard."