Supercar makers have long known that parked next to that snarling Lamborghini, a racing-red Ferrari, or stately Bentley at some of the globe’s toniest addresses is a practical SUV. With the sport utility vehicle market growing by leaps and bounds, they increasingly want in on the profits.

Lamborghini unveiled the once-improbable Urus SUV on Monday at its headquarters in Sant’Agata, Italy, where the supercar maker owned by the Volkswagen group is expanding the factory to meet utility vehicle demand.