In the 2001–02 season, Mulryne was a member of the Norwich team that reached the final of the Division One play-offs. The match ended 1–1 after extra time and Mulryne missed one of the spot-kicks in the subsequent shoot-out as Birmingham City won 4–2 on penalties. Mulryne had missed another penalty earlier that season in a league match against Gillingham at Carrow Road, however Norwich won that game 2–1. Mulryne's contract was expiring that summer and there was speculation regarding his future until he signed a new three-year contract with Norwich.