Rasmussen began the 2003–04 Danish Superliga season as starting goalkeeper, but lost his place to Pedersen in April 2004 following a slump in form. He was second choice for the 2004–05 Danish Superliga season, but following an injury to Pedersen in April 2005, Rasmussen got another chance and again established himself in the starting line-up.
Rasmussen's position as goalkeeper fluctuated between the 2003–04 and 2004–05 seasons due to a change in form and an injury to Pedersen.