The five-year CFL veteran suffered the injury in Sunday's 17-1 road loss to the Saskatchewan Roughriders.
Eskimos general manager Eric Tillman called the injury "terrible news for this young man and our club" in a statement released Monday night.
"Our prayers will be with him for a full recovery," Tillman said. "Adarius is blessed with a very competitive drive and spirit, and that tenacity will be one of his greatest assets during this process."
Bowman, who turns 27 on Tuesday, joined Edmonton prior to last season and amassed career-highs in catches (62) and receiving yards (1,153) to go along with four touchdowns.
The Chattanooga, Tenn., native had nine receptions and 145 yards through the air through two games this season.
In five seasons with Saskatchewan, Winnipeg and Edmonton, Bowman has 199 catches for 3,272 yards and 16 TDs.