Goodwin was carted off the field during Sunday's win over the Vikings. He was on crutches and in a walking boot in the locker room.
According to Rapoport, Goodwin will get an MRI on Monday to determine the severity of the sprain and will likely miss time.
The veteran has not missed a regular-season start since 2008. He has played 184 games in his 13-year NFL career.
The Saints play the Cowboys in Dallas on Sunday night.
- Molly Geary