A club spokesman said Pierce was scheduled to visit a doctor Monday and the team expected to be in a position to issue an update on the veteran quarterback's health sometime Tuesday.
Pierce was hit hard in the Bombers' 45-23 home loss Sunday to the Saskatchewan Roughriders, a game that saw him throw five interceptions. After the contest, Pierce admitted he was "pretty beat up right now.''
It wasn't clear whether Pierce would be able to play Sunday when the Bombers (7-3) visit the Montreal Alouettes (6-4) in a battle for top spot in the East Division standings.
Pierce suffered a rib injury on Winnipeg's opening offensive possession against Saskatchewan. On the Bombers' next series, Pierce was hit so hard that his helmet went flying.
Both times, he stayed in the game.
Pierce was limited to just five starts last year due to knee and elbow injuries.