The Belgium international is currently preparing for the Champions League final, with Spurs set to play Liverpool in Madrid this weekend.
Alderweireld has a £25million release clause in his contract that can be triggered by an interested party this summer. His current deal expires next summer.
He has not been pushed to the fringes of the squad this season, however, playing a total of 49 times in all competitions.
And, when asked about his future, he has suggested that he expects to be a Spurs player on the first day of the 2019-20 season.
He said: “I’m going to say the same thing that I’ve been saying for the past couple of years.
“The only focus is Spurs, because of this focus I think I had a good season as well.
“I have one year left on my contract, so in my head, I will play for Spurs next season.”
If Spurs do nothing else but keep Alderweireld this summer, their transfer window will have been a success.
The former Southampton defender is perhaps the finest centre-back the club has had since Ledley King.
And if they can offer him fresh terms and potentially convince him to stay, or even if Alderweireld fails to attract a single bid, they would have secured their biggest signing of the transfer window.
His form this season has been integral to the club’s pursuit of the Champions League trophy and he could well become a European champion this weekend.
All the more reason, then, to offer him that new contract.