After early outings in 1958, driving his father's Turner and an AC Ace sports car, Spence moved into open-wheel racing in Formula Junior in 1959.
Despois das primeiras carreiras en 1958, pilotando un Turner e un automóbil deportivo AC Ace do seu pai, Spence pasouse ás carreiras de rodas abertas da Fórmula Junior en 1959.