The 24-year-old put pen to paper on a new four-year deal with Mauricio Pochettino's side last month after a season in which Spurs qualified for the Champions League and mounted a serious title challenge.
"I wanted to extend [my contract] because I feel that we can take the next step, which is to be at the top," the Denmark international told Tipsbladet.
"In the past Tottenham have been a middle to top club, but with the players we have in the squad, our way of playing and a new stadium, then there is a possibility that we may be at the top.
"Now we play also in the Champions League, as we did in the past, and that is something I like. I personally had no doubt that I wanted to stay and be a part of the building."
Spurs are also tipped for a title challenge this season and currently sit unbeaten in second place in the Premier League, one point behind leaders Manchester City.