Smith was hurt in the third period of Monday night's 4-3 overtime loss. He underwent tests Tuesday and will be evaluated when the team returns to Phoenix on Friday.
Smith left the game with 7:43 remaining in regulation after being bowled over by New York's Derick Brassard.
Smith is one of the major reasons the Coyotes are battling for the final spot in the Western Conference playoffs. He is 27-21-10 with a 2.64 goals-against average and three shutouts.