Wentz will have surgery later Monday, multiple reports said.
Wentz could land on injured reserve, which would sideline him for a minimum of four games.
Wentz is currently in Los Angeles meeting with a hand specialist, per the report.
Taylor Heinicke is Washington's primary backup. The Commanders also have rookie Sam Howell on the active roster.
Wentz sustained the injury late in the first half of Thursday's win when his hand hit Bears defensive lineman Justin Jones on his follow-through. He remained in the game and played the entirety of the contest.
Wentz finished 12-of-22 passing for 99 yards.