The Brazil international, who has had an injury-interrupted start to the campaign, had to be substituted in the first half of Barca's 4-0 victory at Levante on Sunday.
He could miss up to six matches between La Liga, the Champions League and the Copa del Rey.
Alves joins David Villa and Alexis Sanchez on the injury list though coach Tito Vilanova received some good news with Isaac Cuenca returning to training with the squad after six months out following knee surgery.
- Sports & Recreation
- La Liga
- Isaac Cuenca