In the 1970 NHL Expansion Draft, Buffalo Sabres General Manager Punch Imlach drafted Tom Webster from the Boston Bruins and promptly dealt him to the Red Wings for Crozier. Crozier started the Sabres' first NHL game on October 10, 1970, against the Pittsburgh Penguins. He stopped all but one of 36 shots to earn the franchise's first victory, 2–1. On December 6, 1970, Crozier earned the franchise's first shutout in a 1–0 win over the Minnesota North Stars. By late December however, Crozier was deeply exhausted and most of the Sabres' goaltending duties fell upon Joe Daley and Dave Dryden. Crozier finished the season with a 9–20–7 record and a 3.68 GAA. The Sabres also missed the playoffs, finishing fifth in the East Division. Adding to Crozier's continual health problems, his gallbladder was removed during the off-season.