On July 7, 2022, during the 2022 NHL Entry Draft, Dach was traded by the Blackhawks to the Montreal Canadiens in exchange for the thirteenth overall pick and a third-round selection. The Canadiens had in turn traded defenceman Alexander Romanov to the New York Islanders to acquire the thirteen overall pick in order to make the trade, as general manager Kent Hughes said that he believed Dach could live up to his potential despite his struggles in preceding seasons.
