Kammala jumla mai zuwa: Tare da Lotus sanya hannu Peter Arundell a matsayin abokin aikin Clark na, Spence ya shafe yawancin farkon kakar wasan motsa jiki a cikin abubuwan da suka faru na Formula Two. Duk da haka, jim kadan kafin
Babban Prix na Burtaniya, Arundell ya sami mummunan haɗari a tseren F2 a Reims-Gueux, kuma an kira Spence don maye gurbinsa a cikin ƙungiyar F1 har zuwa ƙarshen kakar. Gudanar da Lotus 25 da Lotus 33, Spence ya yi nasarar kammala maki a tseren gasar zakarun duniya guda biyu, na shida a Italiya da na huɗu a wasan karshe na kakar wasa a Mexico. Wannan ya ba shi maki huɗu, yana sanya shi daidai da na 12 a cikin Gasar Drivers.