Brooklyn, 14, was invited to a training session at the famous club last week.
He was accompanied by his father and the drills went so well, Brooklyn has reportedly been invited back.
It’s not the first time a Premier League club has noticed Brooklyn’s prodigious skill – he has already trained with Chelsea and Queens Park Rangers.
He also played with the Los Angeles Galaxy youth squad when his father was playing in the squad’s championship team.
David Beckham was one of Manchester United’s most famous players. He signed a schoolboy contract with the club at 14 and played for them until 2003, helping them win six Premier League titles and the Champions League.