He is expected to be placed on injured reserve and miss the rest of the season. Orakpo was injured in the fourth quarter while trying to make a tackle and did not return to the game.
The 28-year-old has injured his left pectoral muscle twice before in his career. He has 24 total tackles this season and only half a sack, after recording 10 in 2013.
He will become an unrestricted free agent following the season after being slapped with the franchise tag during the offseason. Orakpo, a three-time Pro Bowl selection, is making $11.45 million under the tag.
In six seasons with Washington, Orakpo has 40 career sacks and six forced fumbles.
Washington, now 2-5 this season, broke a four-game losing streak with the victory over the Titans. The Redskins play the Dallas Cowboys next Monday night.
- Scooby Axson