The 23-year-old has been touted as a possible target for Andre Villas-Boas for some time, with the Portuguese signing the defender's former team-mate Jan Vertonghen in the summer.
However, the Dutch champions' boss insisted that Alderweireld would remain in the Netherlands this season, but seemed more willing to allow the Belgian to seek a switch afterwards.
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"We're very happy with him and don't want to let him go in the winter, unless it's a super transfer [fee], but I don't think that will happen."
The asking price for the Belgium international is believed to be around £8 million, but Spurs also reportedly face competition from a number of other English clubs, including Liverpool, Newcastle and Southampton.
The player is understood to prefer a move to the Premier League, with the likes of Eden Hazard, Vincent Kompany and Marouane Fellaini part of a growing Belgian presence in England.