 Turvey made his formula single seater debut in the 2003 British Formula Renault Winter Series and spent the remainder of the season competing in Zip Formula, in which he was the highest-placed rookie.In 2004, he sidestepped into Formula BMW UK with Team SWR and achieved one race win.At the end of the season, he made a one-off Formula Three debut in the Promotion class of the Asian F3 Championship.