The 38-year-old sportsman - who recently retired from professional soccer - and TV chef have reportedly joined forces with business tycoon Steve Wynn to open an eaterie in his luxury hotel down the city's Strip.
Gordon, 46, already has three joints in the hot spot - a BurGR joint at Planet Hollywood, a steak house at Paris and a Pub & Grill at Caesars Palace - but Steve believes David's star touch will help generate popularity for the new sports bar and grill.
A source told The Sun newspaper: ''The Strip has never seen such fierce competition for food, but Gordon's places are full seven nights a week. He's one of the best chefs in the world, so it's only natural that Steve feels he should have a place in his hotel as it's the most luxurious on The Strip.
''When you add David Beckham's global status into the mix it has the potential to be the most talked about restaurant in Vegas.
''[Steve's] ambition is quite simply to have the best hotels in the world. He spent more than £2billion doing that with the Wynn Resort and thinks Gordon and David can make it even better.''
David - who has sons Brooklyn, 14, Romeo, 10 and Cruz, eight, as well as 21-month-old daughter Harper with his wife Victoria - is already set to open the Union Street Cafe with Gordon near London's Borough Market this September and revealed how excited he is about the venture last year.
He gushed: ''We've got something in the pipeline. We are obviously good friends and we are excited about a project that could happen pretty soon.
''It will be a business thing but owning a restaurant is going to be fun as well.''
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