The 21st-ranked Tigers (5-2, 4-1 Atlantic Coast Conference) will also be without tight end Jordan Leggett for several weeks due after he also suffered a knee injury. Swinney said both players were injured in last Saturday's 17-13 victory at Boston College.
Clemson faces Syracuse (3-4, 1-2) on Saturday night.
Choice, a freshman, led Clemson with 218 yards and a touchdown. Swinney said Choice would need surgery in a couple of weeks to repair an ACL.
Swinney said Leggett tore his meniscus and sprained an MCL. He's caught 10 passes for 131 yards and a touchdown.
The coach did not provide any further details on the injuries, per athletic department policy.