 Kukundikana kudzinga Staunton naDominic Matteo, Bjørnebye akabvuma kuenda nechikwereti kuchikwata cheDanish cheBrøndby IF muna 2000, icho chakapedza chechipiri muDanish Superliga naBjørnebye muchikwata. Akafunga kusiya Liverpool zvachose mushure mekudzoka kubva kuEuropean Championship, achigamuchira 300,000 kuchinjirwa kuBlackburn Rovers iyo yakamuunganidza zvakare nemutungamiriri wekare Graeme Souness. Kukwidziridzwa kuPremier League kwakawanikwa mugore rake rekutanga neRovers, mukuita uku, Bjørnebye akarova chibodzwa chake chega chekirabhu musi wa11 Mbudzi 2000, mukukwikwidza 22 kurwisa Portsmouth. Mukombe wake wekupedzisira wakawanikwa apo Blackburn yakakunda Tottenham Hotspur 2 1 mu2002 League Cup Final. Kukuvadzwa kwakatevedzana mushure mekukunda mukombe kwakakanganisa uye pakupedzisira kwakagumisa basa rake semutambi wenhabvu. Achigadzirira mwaka wa2002-03, Bjørnebye akapwanya ziso rake mutsaona yekudzidzira. Akanyunyuta nezvekuona kaviri, akavhiyiwa, uye haana kukwanisa kushanda kwemwedzi minomwe. Kumwe kukuvara kwakakonzerwa panguva yemutambo weLigi Cup musi wa17 Zvita 2002, mukukunda 2 0 kurwisa Wigan Athletic kwakakwira, apo Bjørnebye aive achipora muNorway, achida kuvhiyiwa kwekukurumidzira kuti adzivise mukana wekubviswa kwetsoka. Bjørnebye akazivisa kupera kwake basa musi wa 11 Kurume 2003. Mutungamiri weBlackburn Graeme Souness akapindura chisarudzo ichi nemashoko okuti: 