Dembele picked up the problem whilst on international duty with Belgium, and has missed Spurs' last four games.
However, Villas-Boas is confident the injury is not too serious and that he can have his summer signing back in action sooner rather than later.
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"We want to avoid surgery if we can," Villas-Boas told reporters.
"If there happens to be surgery I think we are looking for one month, one month and a half.
"Hopefully that will not happen because we have some good indications the player will be back in one week or two weeks."