Hubbard is the second starting defensive lineman the Bengals have lost for an extended period as a result of the game against the Ravens. Defensive tackle D.J. Reader suffered a season-ending quad injury and was placed on injured reserve earlier this week.
Hubbard will have to miss at least three weeks on IR and will not be eligible to return until the Bengals' Week 10 game against the Pittsburgh Steelers as Cincinnati has a bye in Week 9. Coach Zac Taylor said earlier this week that he expected Hubbard to miss a couple of weeks.
Hubbard, 25, has a sack, two forced fumbles and 23 tackles this season. He has 15.5 sacks in three NFL seasons.
ESPN's Ben Baby contributed to this report.