Lewerke came on late in Saturday's 32-23 loss to No. 2 Michigan, giving the Spartans a lift by throwing for 100 yards and one touchdown. The redshirt freshman has been primarily a backup this season, but this injury will prevent him from immediately building on his performance against the Wolverines.
Michigan State said the injury does not require surgery, and Lewerke is expected back for spring practice.
Lewerke started two games and played in two others during his first season of action at Michigan State. He was in the throes of a competition for playing time along with fifth-year senior Tyler O'Connor and redshirt junior Damion Terry.
Michigan State coach Mark Dantonio said after Saturday's loss that it was too early to name a starter for the Spartans' next game against Illinois. On Sunday, he said he has not yet decided whether O'Connor or Terry will lead the offense going forward.
ESPN's Dan Murphy and The Associated Press contributed to this report.