Hubbard suffered the injury in the second quarter, when he jumped up in an attempt to deflect Bucs quarterback Tom Brady's third-down pass.
Hubbard was ruled out one quarter later. Bengals coach Zac Taylor did not offer an update on Hubbard after the game.
The injury exacerbated Cincinnati's depth issues on Sunday. Trey Hendrickson, Cincinnati's other starting defensive end, didn't practice all week and was ruled out for Sunday with a wrist injury. ESPN's Jeremy Fowler reported that Hendrickson could be back in time for a potential playoff run.
Hubbard led the team with 6.5 sacks and started in all 13 games leading up to Sunday's clash against the Buccaneers.