In the 2014–15 season Bealham was moved from loosehead to play tighthead by Connacht forwards coach Dan McFarland. Despite the change, he continued to play regularly for the side, as he had at the end of the previous season. Bealham made his European debut on 6 December 2014, coming on from the bench in the home game to Bayonne in the Challenge Cup pool stages. He made his first start in the reverse fixture the following week. Bealham made his first league start on 26 December 2014 against Ulster. During the course of the season he played 15 games in the 2014–15 Pro12, and made a total of five appearances in the Challenge Cup. He also featured in Connacht's final game of the season, a play-off against Gloucester which they lost 40–32 after extra time. During the course of the season, Bealham signed a new two-year deal to keep him with the province until summer 2017.