After attending his first NHL training camp with the Colorado Avalanche prior to the 2011–12 season, Beaupré was returned to junior to continue with Val-d'Or.

After just 4 games, Beaupré opted to turn professional and although without a contract from the Avalanche, was assigned to secondary affiliate, the Denver Cutthroats of the Central Hockey League.

Scoring 8 points in 28 games with the Cutthroats, Beaupré was elevated to the Avalanche's primary affiliate, the Lake Erie Monsters of the AHL on December 26, 2012.

On March 22, 2013, Beaupré was rewarded in his role as a defensive defenceman from his first professional season, with a three-year entry-level contract from the Colorado Avalanche.

After the 2015–16 season, in which he primarily spent with third tier affiliate, the Fort Wayne Komets of the ECHL, Beaupré completed his entry-level deal and was not offered a contract to remain with the Avalanche.