Rubuta ci gaba ga wannan sakin layi - Duk da nasarar da ya samu tare da Cooper, Brabham ya tabbata cewa zai iya yin mafi kyau. Ya yi la'akari da siyan Cooper tare da haɗin gwiwa tare da Roy Salvadori sannan kuma a ƙarshen 1959 ya nemi abokinsa Ron Tauranac ya zo Burtaniya kuma ya yi aiki tare da shi, yana samar da kayan haɓaka don Sunbeam Rapier da Triumph Herald motocin hanya a dillalinsa na mota, Jack Brabham Motors, amma tare da burin dogon lokaci na tsara motocin tsere. Brabham ya ci gaba da tuki don Cooper, amma a kan dogon jirgin da ya dawo daga Babban Prix na Argentina na shekarar 1960, ya yi zuciya da zuciya tare da John Cooper. Mahaifin John Charlie da mai zane Owen Maddock sun yi jinkirin sabunta motarsu, amma duk da cewa Cooper ya ci nasara a Argentina, wasu motocin sun fi sauri kafin su lalace. Brabham ya taimaka wajen tsara Cooper T53 mafi ci gaba, gami da shawara daga Tauranac. Brabham ya fitar da sabuwar motar daga tseren gasar zakarun na gaba, Monaco Grand Prix, amma sai ya fara jerin nasara biyar a jere. Ya ci nasara daga gaba a Dutch, Faransa, da Belgian Grands Prix, inda abokin hamayyarsa Moss ya ji rauni sosai a cikin hadarin horo wanda ya fitar da shi na tsawon watanni biyu. An kashe wasu direbobi biyu a lokacin tseren. A gasar Grand Prix na Birtaniya
, Brabham yana kusa da Graham Hill na BRM kafin Hill ya juya, ya bar Brabham nasara. Daga nan sai ya dawo daga matsayi na takwas zuwa na biyu a Grand Prix na Fotigal bayan ya zame a kan layin tram kuma ya ci nasara bayan jagoran tseren John Surtees ya fadi. Jimlar maki na Brabham ba ta isa ba lokacin da ƙungiyoyin Burtaniya suka janye daga GP na Italiya saboda dalilan tsaro. Mike Lawrence ya rubuta cewa ƙwarewar Brabham a cikin saita motocin ya kasance muhimmiyar mahimmanci a cikin direbobin 1960 na Cooper da masu tsarawa.