The Kenya international has been sidelined since August with the problem, with his last appearance for Spurs coming during their 2-1 Premier League defeat to Chelsea on the second weekend of the season.
There had been fears the former Southampton ace could be sidelined until the new year with the issue, but it appears he is now closing in on a first-team return after he confirmed on Twitter that he has resumed training.
“Training done for the day,” Wanyama tweeted.
Wanyama was a regular for Spurs last season, featuring in 47 matches across all competitions, and the north Londoners have coped well in his absence this term, with the likes of Harry Winks stepping into the fold.
Spurs are currently third in the Premier League standings, eight points behind leaders Manchester City, while they are top of their Champions League group and have already secured their progress through to the knockout stages in Europe.