Real did not say how long the France international who had to come off after half an hour of the 4-3 victory in Lviv would be sidelined, but local media reported he would be out for three weeks.
Varane's injury is a bad news for coach Rafa Benitez, with captain and center back Sergio Ramos who sat out the Shakhtar match struggling with a shoulder problem.
Varane, 22, looks certain to miss Sunday's La Liga game at Eibar and the match at home to Getafe the following weekend, as well as the Champions League clash at Malmo on December 8.

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