While many desert animals can live on the water contained in their food, it is reported that the Desert Hedgehog prefers to live in an oasis or coastal area. So it would seem that it enjoys having drinking water available.
All animals need water.
hares
Hares and rabbits in any desert feed primarily on grasses and other edible plants growing there.
water
Arctic Hares live on the land.
Insects, rodents, rabbits, hares, birds, mammals such as deer and antelope are all primary consummers in a desert.
Camels, rabbits (or hares) and deer are herbivores that live in deserts.
water and food
Most deserts have hares, rabbits, deer, and antelope that are herbivores.
Camel and water
There was a scarcity of water in the desert.
Many animals in the desert eat grass - rodents, rabbits, hares, tortoises, deer, antelope, sheep, javelina and other hoofed animals.
no they do not leave in desert because they need water, soil for living.