A statement on their website (www.liverpoolfc.com) confirmed the injury, adding "a return before the end of the season has not been ruled out".
The 22-year-old was hurt during the epic 4-3 Europa League quarter-final victory over Borussia Dortmund at Anfield on Thursday.
Can went off 10 minutes before the end, soon after Mamadou Sakho had levelled the score at 3-3 and before Dejan Lovren headed Liverpool's stoppage-time winner.
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The German will hope to recover in time for the European Championship in France in June.
(Reporting by Mike Collett; Editing by Tony Jimenez)
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