 After impressing at a young age, Tørnes made the move to Brøndby IF after a successful trial.Tørnes had his debut for Brøndby IF in the 67th minute of a 0–0 draw against Flora Tallinn in the UEFA Cup, replacing goalkeeper Casper Ankergren who was sent off.Tørnes kept a clean sheet in the 4–0 second leg win on Brøndby Stadion, which he played for the whole 90 minutes.