 Nyora kupfuurira kweiyi ndima - Musi wa9 Ndira 2001, Rosický akabatana neBorussia Dortmund, achisaina kondirakiti yemakore mashanu. Mari yake yekuchinjisa yeDM mamirioni makumi maviri nemashanu anenge mamirioni masere emadhora, yakamuita iye mutambi anodhura kwazvo munhoroondo yeBundesliga uye mutambi weCzech anodhura kwazvo kutengeswa kuchikwata chekunze. Mumwaka wake wekutanga wakazara kuDortmund, Rosický akabatsira kirabhu kuhwina 2001-02 Bundesliga zita. Akatorawo chikamu mu2002 UEFA Cup Final, iyo Dortmund pakupedzisira yakarasikirwa ne32 kuFeyenoord. Mumwaka wake wokutanga wemwaka miviri nehafu nekirabhu, Rosický akatamba mitambo 75 yeligi, achihwina zvibodzwa zvipfumbamwe uye achinyoresa 20 anobatsira. Akazobvuma kuwedzera chibvumirano chake neDortmund muna Chikunguru 2003, achisaina chibvumirano chekugara mukirabhu kusvika 2008. Pakupera kwemwaka, Rosický yakaziviswa semukundi weCzech Republics Golden Ball mubairo. 