Alderweireld injured a hamstring on November 1 in the Champions League defeat of Real Madrid at Wembley and has not played since.
The Belgian has been linked with a move to clubs including Chelsea, with his deal set to expire at the end of next season, but Pochettino shrugged off the 28-year-old being 18 months away from becoming a free agent.
"Of course we cannot change the reality of his injury, he cannot play until February," said Pochettino, whose side face Brighton and Hove Albion on Wednesday.