 Domingue was assigned to play the 2011–12 season with the Remparts, where he led all QMJHL goaltenders with a .914 save percentage before making his professional debut the following year, playing the 2012–13 season with both the Portland Pirates of the American Hockey League (AHL) and the Gwinnett Gladiators of the ECHL.In the 2014–15 season, after Arizona traded its backup goaltender Devan Dubnyk to the Minnesota Wild, Domingue was called up to the NHL for the first time to back-up starter Mike Smith.Domingue made his NHL debut appearing in relief and allowing two goals in a 7–2 defeat to the Ottawa Senators on January 31, 2015.