Born in Epe, Van Doorm joined Vitesse in 2006, following a spell with EZC '84. Ahead of the 2018–19 campaign, he joined Eerste Divisie side, Telstar on a season-long loan following a contract extension.[2] On 24 August 2018, he went onto make his professional debut during Telstar's 1–0 home defeat to MVV, featuring for the entire 90 minutes.[3]
On 22 June 2022, Van Doorm signed a two-year contract with FC Eindhoven, also competing in the Eerste Divisie.[4]