Spezza was hurt moments after he got his third assist in the second period of Sunday night's 3-1 win over Pittsburgh. He left the game after being checked into the boards from behind by Kris Letang.
Spezza said Monday it didn't look like surgery would be required, but there was no timetable for his return.
Spezza has 20 points, with nine goals and 11 assists, in 32 games this season.
Spezza calls the hit "a little bit dirty." Letang got a two-minute boarding penalty on the play. There was no immediate word from the NHL on potential discipline.