When Brøndby hired new manager Ebbe Skovdahl in 1992, he went on to deploy Bjur in a right wingback position, where Bjur was immediately praised for his performance. From his wingback position, he would both engage in elegant, dribbling runs as well as hit precise crosses. In the opening of the 1993–94 Superliga season, Bjur saw a slump in form.
Upon taking over at Brøndby in 1992, Ebbe Skovdahl decided to utilize Bjur in an advanced right wing role, where Bjur was immediately recognized for his outstanding play. From this position, he would both make impressive, ball-controlling runs as well as deliver pinpoint accurate crosses. However, in the beginning of the 1993–94 Superliga season, Bjur struggled with his form.