Tottenham Hotspur have progressed well over the past three or so years.
The former United defender has also stated that Levy will not let go of first-team manager Mauricio Pochettino.
"But there are three characters who aren't going anywhere in the next 18 months for Tottenham,” Neville told Sky Sports. “Dele Alli, Pochettino and Kane aren't going anywhere. Daniel Levy wouldn't let them go anywhere.
"With the stadium being built and them starting there next season, with the season tickets, the hospitality, the incredible stadium, one of the best in the country, they're not going anywhere in the next 18 months, Daniel Levy wouldn't let them go anywhere.”
Kane is one of the best strikers in the Premier League and has been in stunning form for Tottenham so far this season.
The 24-year-old has scored six goals in seven league appearances for Spurs so far this campaign.
The England international has found the net five times and has provided one assist in two Champions League appearances in 2017-18.
Dele Alli’s performances this season have not been great, but there is no doubt that the England international is one of the best young midfielders in the world.
As for Pochettino, the Argentine boss is one of the best tacticians there is in Europe and has transformed Tottenham over the past three or so years.