His first victory came on March 8, 1991, in a 5–3 performance over the Buffalo Sabres, and on January 9, 1992, he recorded his first shutout in a 2–0 win against the Toronto Maple Leafs.
=== Chicago Blackhawks ===V Chicagu je bil Hašek drugi vratar ob Edu Belfourju in je odigral le petindvajset tekem v dveh sezonah pri klubu, istočasno je igral še za klub Indianapolis Ice v nižji ligi IHL.