Nkemdiche, a preseason All-SEC first-team choice and potential first-round NFL draft pick, suffered the injury after taking a handoff while playing offense for the Rebels. He left the field for the locker room early in the second quarter after his head slammed onto the turf.
The Rebels initially listed Nkemdiche as questionable to return before ruling him out at halftime.
The 6-foot-4, 296-pound junior entered the game with two rushing touchdowns on three carries this season. He also had a 31-yard touchdown reception against UT-Martin in the season opener.
ESPN NFL Draft Insider Mel Kiper Jr. recently rated Nkemdiche as the ninth-best prospect on his 2016 Big Board.
Nkemdiche suffers concussion
Ole Miss DL Robert Nkemdiche leaves the game against Memphis after suffering a concussion running the ball in the second quarter.