Cozens scored a goal during Monday's 6-5 overtime loss to the visiting Lightning.
Cozens, who has two goals over his past three games, scored midway through the third period Monday, giving the Sabres a short-lived 4-3 advantage. The 21-year-old center generated a team-high five shots and added a plus-2 rating. Cozens has contributed at least one point in his past five games (two goals, three assists).