His older brother Claude Jobé competed in the motocross world championships for the Montesa factory racing team in the early 1970s.

In his first year of international competition, Jobé rode a Suzuki to a seventh place result in the 1979 250cc Motocross World Championship.

Jobé led the 1981 250cc motocross world championship before a late season knee injury allowed Neil Hudson to overtake him by only two points in the final standings.

[6][8] In 1983, his rivalry with LaPorte continued with Jobé winning the 1983 250cc motocross world championship for Suzuki by a comfortable margin over his American rival.

[6] The 1984 500cc championship is prominent for featuring all three of the previous year's world champions – Carlqvist (500cc), Jobé (250cc) and Geboers (125cc).

[15] He dropped to fourth in the 1985 500cc motocross world championship behind the powerful factory Honda team of Thorpe, Malherbe and Geboers.

[6] Jobé dominated the 1987 500cc World Championship, winning the title by more than 50 points over second place Kurt Nicoll.

[3] In 2006 he was signed by KTM to help start their racing program, coaching riders such as Mickaël Pichon, Sébastien Tortelli and Jonathan Barragán.