Alderweireld joined Spurs from Atletico Madrid last summer and has since thrived at White Hart Lane, playing in every Premier League game this season as the club have launched a sustained title challenge.
Spurs are currently second, seven points behind leaders Leicester, but the 27-year-old centre-back concedes that he harbours hopes of moving back to the Amsterdam ArenA, where he spent nine years prior to his move to Atletico.
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"Ajax is a fantastic club and I would love to come back one day, but I won’t make any promises," he told De Telegraaf.
"I spent most of my career at Ajax and am thankful for those years. I was extremely happy in Amsterdam."
Alderweireld's current deal runs until 2020, and is set to feature for Tottenham when they face Stoke City on Monday.