Jensen joined rival Danish 1st Division team Esbjerg fB in the Winter 2000, and eventually surpassed Benny Gall as the starting goalkeeper. Jensen helped Esbjerg win promotion to the Danish Superliga, and played all 33 games as Esbjerg finished 7th in the 2001–02 Danish Superliga season.
Jensen joined a rival Danish 1st Division team, Esbjerg fB, in winter 2000 to become the starting goalkeeper. He assisted Esbjerg's promotion to the Danish Superliga and played all 33 games during their 7th place finish in the 2001–02 Danish Superliga season.