Burnley are in 18th position with just eight games remaining, but the Lancashire club sit just a point adrift of safety.
Sunday's contest with top-four hopefuls Spurs and next week's match against Arsenal will complete a run where Burnley have played the Premier League's current top eight in consecutive games.
"I have total belief that we will be in the Premier League," he said.
"We have had a run of games where people said we wouldn't get a point. Well, we've got four and we want more.
"We know we need to win more games. We beat Manchester City, but we need more of that.
"Tottenham and Arsenal are certainly tough games, but we will be ready."
Spurs were also 2-1 victors in December's reverse fixture.
Kane was not the only Tottenham player to enjoy the international break, with Ryan Mason also making his England debut, while Andros Townsend was on the scoresheet in Turin and Christian Eriksen picked up his 50th Denmark cap.
"The English players and others with their international teams have put in good performances," he said.
"It's always difficult after the international break but today all the players are with us and we're starting to prepare for the trip to Burnley.
"We need to make it a good performance and win the game."
Stephen Ward (ankle) will hope to feature for Burnley, but the game is likely to come too soon for Matt Taylor (Achilles).
