The defender saw his playing time limited during the 2017/18 season due to injuries and reports of a stalemate over a new contract.
Alderweireld has just over a year left on his current contract, which includes a one-year extension option, and more than a year of talks over a new deal have yet to result in agreement.
Manchester United are among the clubs interested in the 29-year-old, but, asked he if could stay at Tottenham, Alderweireld said: “Yeah, why not?
“I have two years left on my contract. I don’t know what is going to happen.”
Alderweireld is currently away with Belgium at the World Cup and will face some of his Tottenham team-mates when Belgium and England meet in their final Group G game.
While Belgium are among the favourites to win the World Cup, Alderweireld also thinks England are going to enjoy a “very good” tournament.
“I have been in the Premier League for four years and something is different with England now,” he said.
“They are young lads, there is a lot of desire. There is a new vibe coming. They have wonderful players, not just stars but players who want to become better.
“I think they are going to have a very good World Cup. England can do whatever they want if they are on it. They are a very good team.
“I know most of the players. They have the right mentality to go far now. They have quality and desire, players with a good attitude.”