Barca have not specified how long their number nine will be out for as he recovers from the procedure, but he is likely to miss the La Liga champions' two remaining league fixtures against Getafe and Eibar.
It remains to be seen whether Suarez will be fit for the Copa del Rey final against Valencia on May 25.
The Uruguayan, who has scored 25 goals in 49 matches in all competitions this season, played the full 90 minutes as Barca were spectacularly knocked out of the Champions League by his former club Liverpool, who overcame a 3-0 semi-final first-leg deficit to progress 4-3 on aggregate on Tuesday.
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(Reporting by Joseph Cassinelli, editing by Ed Osmond)
