From 1986 to 1988, while still driving in Formula One, Cheever won ten sports car races for Jaguar. In 1990 he moved to the US to drive for Chip Ganassi Racing in the CART series. In his first attempt at the Indianapolis 500, he finished eighth and was named the race's Rookie of the Year, as well as CART's Rookie of the Year. In 1992, he qualified second for the race and finished fourth. In total, he scored four podium finishes in the series but never won. Driving for A. J. Foyt's team, Cheever came closest to victory at Nazareth in 1995; he was leading the race on the last lap when he ran out of fuel.