Further details about the nature of his departure were not made immediately available by the team.
After the game, interim head coach Dominique Ducharme said Anderson would need more tests but that the initial expectation was that the injury was "not too serious."
On Anderson's last shift late in the first period, he collided with Jets defenceman Dylan DeMelo. Anderson finished the shift but went to the locker room afterwards and did not return to the bench again before ultimately being ruled out.
The winger has scored nine goals and added three assists in 18 games with Montreal this season, his first as a member of the Canadiens after being acquired from the Columbus Blue Jackets in the off-season.