Scans confirmed the injury on Wednesday afternoon, with the young Lion and the club set to determine the best course of action for his surgery and rehabilitation.
Lions general manager of football operations Dean Warren said the injury was a huge disappointment for both Beams and the club.
"Claye had an outstanding pre-season and was consolidating his position in our best 22, so understandably he is devastated by this setback," Warren said.
"We are certain Claye’s strong character will get him through this tough period and that he will approach his rehabilitation with absolute professionalism."
Beams, 21, has played 15 senior games for the Lions, including the opening two rounds of the 2013 season.
