Nokusayina kwaJochen Rindt nokuda kwaLotus nokuda kwa 1969, Oliver akachinjira kuBRM. Akanga achizotambura makore maviri anoodza mwoyo pachikwata cheBourne, icho chaizouraya zvinobudirira basa rake reGrand Prix. Mumakore maviri, aizounganidza magumo mana chete, aine zvibodzwa zvake chete zvinova nzvimbo yechitanhatu mu1969 Mexican Grand Prix, uye yechishanu mu1970 Austrian Grand Prix
. Zvisinei, muna 1970, akatungamira chikamu chikuru cheRace of Champions achidzivirira Stewart uye aive wechitatu akasimba kune mazhinji eGNP yeDutch neBritish. Mugumisiro wakashata muAustria GP uyo mukuru wechikwata, Louis Stanley akafunga kuti aifanira kukunda, akaona motokari yakanakisisa ichienda kuna Pedro Rodríguez kubva ipapo, asi Oliver achiri kutungamirira mamwe maronda pamakwikwi eItaly. Stanley akarondedzera Oliver, so'wakanaka, asi asiri akanaka zvikuru seizvo aifunga.' Ruzhinji rwemamwe makwikwi ake rwakaona BRM ichiputsika. Nyanzvi zhinji nomutsigiri, Yardley, vakashamiswa uye vakaodzwa mwoyo pashure pokunge Oliver adzingwa neBRM. Jackie Stewart, akatonga Oliver somutyairi akanaka kwazvo weGP uye Can-Am.