The phrase "across the desert in a" is correct and usable in written English.
You can use it when describing a journey or movement through a desert, typically followed by a mode of transportation or vehicle.
Example: "We traveled across the desert in a caravan, enjoying the breathtaking views of the dunes."
Alternatives: "through the desert in a" or "over the desert in a".
'Flying across the desert in a TWA, I saw a woman walking 'cross the sand.
Later, alarmingly, Nessim also watches the lovers from across the desert in a powerful telescope.
Dozens of cars met the prisoners today and brought them home across the desert in a convoy behind the body of their leader.
She who squires five sex slaves across the desert in a souped-up ute, fending off flame-throwing baddies with her high-tech claw.
After steaming across the desert in a phalanx of battered pickup trucks on Saturday, they came within a few miles of Khartoum.
Driving across the desert in a shiny new S.U.V., they stop to pick up a stranded motorist, Babu (Manoj Bajpai), and soon discover that they've made a major mistake.
This translates into letting the Tea Party crazies have another week to look for a smoking gun — in the form, perhaps, of a hitherto-undiscovered video of Chuck Hagel on a camel, leading a tribe of Bedouins across the desert in an attack on Aqaba.
It can also contribute to respiratory problems for people traveling in these convoys, so bring along a mask and eye protection if you will be traveling across the desert in an open vehicle.
A few hundred miles across the desert in Nevada, a motel mogul called Robert Bigelow is working on a rival project that aims to erect a space station out of inflatable tubular segments, and a huge space cruiser to whisk tourists of the future off on excursions around the moon.
The Third Infantry Division's objective, to dash 350 miles across the desert in tandem with a Marine expeditionary force and seize the airport and highways into the city, was nearly accomplished.
Does that riff not sound like an elephant's dick walloping around its loins as it runs across the desert in order to find a mate?
