[2] Hague signed a three-year entry-level contract with the Golden Knights on September 29, 2017, and attended their training camp before rejoining the Steelheads for the 2017–18 season.

[3] Following a 2017–18 season where Hague led his team in scoring and set a Steelhead single season record for defencemen (78 points), Hague was awarded the Max Kaminsky Trophy, which is awarded to the OHL's Most Outstanding Defenceman of the Year.

[4] On April 8, following the Steelheads elimination from the 2018 OHL Playoffs, the Golden Knights assigned him to their American Hockey League (AHL) affiliate, the Chicago Wolves.

[5] On January 21, 2020, Hague scored his first career NHL goal against the Boston Bruins on goaltender Jaroslav Halák.

[7] Hague scored a goal in the series-clinching Game 5 against the Florida Panthers to help the Golden Knights win the Stanley Cup.