The France international has missed his side's last three games with the groin problem that he picked up while representing his country earlier this month.
Varane was initially expected to be out of action until November, but the 28-year-old has been pictured in full training alongside his teammates ahead of the clash with Spurs in North London.
The defender has made seven appearances for the Red Devils since arriving from Real Madrid over the summer, including five outings in the Premier League.
Man United have struggled in Varane's absence, conceding 11 times in their last three games in all competitions against Leicester City, Atalanta BC and Liverpool.
Red Devils boss Ole Gunnar Solskjaer is likely to address the Frenchman's fitness when he speaks during his pre-match press conference on Friday afternoon. body check tags ::