Griezmann, 29, was brought off at half time after suffering the knock and the club released a statement on Sunday to confirm the forward will be out of action.
Griezmann has scored 15 goals in all competitions but was left out of the starting lineup for a number of weeks under manager Quique Setien.
Sources have told ESPN that the club have reassured Griezmann that he is part of their future plans after meeting with his camp this week.
A source with knowledge of the meeting said it went “perfectly,” with both the club and the player’s camp expressing a desire for the relationship to continue.
Barca are one point behind league leaders Real Madrid who have a game in hand on their fierce rivals.