 As Molde was to meet Hønefoss in the semi-final of the 2005 Norwegian Football Cup, Molde wanted a deal where Høyem was not allowed to play for Hønefoss against Molde.This was declined by Hønefoss, and Høyem stayed at Molde until the end of the 2005-season when he left for Strømsgodset.He played a total of 18 matches for Molde in Tippeligaen, and was a part of the team that won the Norwegian Cup in 2005.