Veillas started his co-driver career in 1997, and made his
World Rally Championship debut in . He was the co-driver of
Eric Camilli, and once competed for
M-Sport World Rally Team in . He was announced to be the co-driver of multiple world champion
Sébastien Ogier in , following the retirement of
Julien Ingrassia. They are set to contest selected events for
Toyota Gazoo Racing WRT. At the
2022 Monte Carlo Rally the French pair finished second overall, after they got a puncture in the penultimate stage. ==WRC victories==