[5] After an early elimination in the 2018 playoffs, Dubé was assigned to the Calgary Flames American Hockey League (AHL) affiliate, the Stockton Heat.

[11] Dubé was re-assigned to the Stockton Heat on November 29,[12] but he was recalled a month later on December 29, after playing in eight games and recording eight points.

[13] Dubé scored the game-winning goal in the Flames 4–0 win over the Winnipeg Jets in the 2020 Stanley Cup qualifiers.

[18][19] The team released a statement saying that they "had no knowledge of pending charges at the time Dillon's request for a leave of absence was granted.

On July 1, 2024, Dubé signed a one-year contract with HC Dinamo Minsk of the Kontinental Hockey League.