The 23-year-old defender, who has been with Ajax his whole career, has been linked with a move away from the Eredivisie.
Alderweireld saw Vertonghen receive offers from both Arsenal and Tottenham as he departed Ajax this summer, and he admits a move to North London would be something he considers.
"If the time is right, it will come, but now Ajax is the most important thing," he told AT5.
"Therefore I expect that I can be watched in the ArenA after the winter break.
"Ajax is a very nice club. It won't be hard to play here all my life - but if I had to choose it have to be a nice club like Ajax again and there aren't many of them.
"But a club such as Arsenal or Tottenham. They are fantastic clubs and would be a step forward."