Alderweireld missed Spurs' goalless draw with Bayer Leverkusen in the Champions League on Tuesday after being carried off on a stretcher against West Brom last weekend.
The Belgian is unlikely to return in time for Saturday's game away at Bournemouth but next weekend's match against reigning Premier League champions Leicester is a realistic possibility.
"It will be difficult (this weekend) because it is very painful but the reaction was good," Mauricio Pochettino said.
"The scan was clear, no problems but we need to wait because it was a very heavy knock and we have to see. It will be difficult for the weekend."
Harry Kane has begun light training this week as he recovers from an ankle ligament problem but he is further away in terms of match fitness.