Ku qor sii wadida faqradan - 2006, Klien wuxuu ku guuldareystay marka la barbardhigo saaxiibkiis khibrad badan David Coulthard, maadaama Ingriisku uu dhaliyay kaalinta koowaad ee kooxda wuxuuna ahaa mid joogto ah oo ka badan Klien xilli ciyaareedkii oo dhan. Bishii Agoosto 2006, waxaa la xaqiijiyay in Klien uusan la sii joogi doonin kooxda Red Bull xilli ciyaareedka soo socda ee 2007, ama ugu yaraan sidii darawal tartan, sababtoo ah saxiixa Red Bull ee Mark Webber. Kadib markii 2 dhibcood ay ku dhamaatay Bahrain iyo Jarmalka
, waxaa jiray xoogaa hubanti la'aan ah halka Klien uu ku sii socon doono mustaqbalkiisa tartanka, mala-awaal ayaa soo jeediyay America inay tahay xulasho macquul ah oo loogu talagalay reer Austria, laakiin wuxuu diiday kursi ChampCar oo ku jira koox ay taageerto Red Bull sannadka 2007, isagoo doorbiday inuu raaco wadista Formula One ee koox kale. Natiijo ahaan, kooxdu waxay ku dhawaaqday in Klien laga saaray saddexdii tartan ee ugu dambeysay xilli ciyaareedkii oo uu doortay darawalkii tijaabada Robert Doornbos.