The 1971–72 season was even worse for the Sabres as they finished with the fewest wins in the league with 16. Crozier posted a 13–34–14 record and a 3.51 GAA. He faced 2,190 shots during the season, a team record which stands to this day. The Sabres improved in 1972–73 and made the playoffs for the first time in their history. In 49 games, Crozier had his first winning record with the Sabres and he posted a much improved 2.76 GAA. In the first round, the Sabres faced the Montreal Canadiens. Crozier played four games and won two, but the Sabres were dispatched in six games.