Bale hobbled off in the 62nd minute at Craven Cottage after falling awkwardly following a shot at goal.
Spurs fans were left fearing the Welshman could be set for a long-term lay-off, but boss Andre Villas-Boas, who also lost centre-back Michael Dawson with a hamstring injury, played down those concerns after the match.
"Both Bale and Dawson have suffered hamstring muscle injuries," said Villas-Boas.
"One looks more serious than the other although both are controllable.
"With muscle injuries it's very difficult but it might keep Bale out for one to weeks. Dawson a little bit less."