The school released details on Dawson's injury Thursday, one day after he was hurt in No. 25 Michigan State's 66-46 win over Eastern Michigan.
The Spartans face Texas Southern on Saturday.
Michigan State says Dawson could be back in time for the start of the Big Ten season. The 6-foot-6 senior is averaging 10.8 points and 8.5 rebounds per game.
Dawson was hurt when he landed hard after drawing a foul while going up for a dunk attempt.