Dressler left the Bombers' Week 14 win over Ottawa on Friday and was spotted with his arm in a sling later.
This injury will be the second time Dressler will have to miss time this season because of an injury.
The 32-year-old has racked up 482 receiving yards and two touchdowns for the Bombers this season over 34 catches.
The 9-3 Bombers hit the field this Saturday when they take on the Edmonton Eskimos. You can hear that game right here on 730CKDM, as we are a proud member of the Blue Bomber Radio Network.