The 14-year-old, who played for LA Galaxy's youth team while his famous father was based at the MLS club, took to the field on Thursday with a view to joining the club's junior ranks just as David did back in 1991.
United have not issued any comment about the trial, but a source at the club told the Manchester Evening News: "He was there with his dad and took part in a practice session with one of the academy sides. It was a chance for him to impress and if he's done well then no doubt the club will look at taking him on."
The paper also had a mole watching the match which Brooklyn took part in. He played on the right wing - where else? - and apparently "impressed spectators" with his display, despite United's youngsters getting beaten 2-0 by Charlton Athletic.
(Early Doors is assuming that it was Charlton Athletic's U15 team, rather than the side that plays in the Championship. But who knows?)
It is not the first time that Brooklyn has auditioned for a Premier League club: he had a trial with Chelsea in January before going on to sign for QPR's youth system in May. He made his debut for the Rs in September, but it seems that he might be happy to move on quickly if a better option comes along.
Brooklyn, said to be an Arsenal fan, is already showing himself quite happy to travel the world of football in search of the best opportunities and best deals he can get. Wonder where he learnt that from, eh?
Thankfully, that nous at managing his career isn't the only thing that Brooklyn has inherited from his dad. This recent video shows Brooklyn (and brothers Romeo and Cruz) enjoying a kickabout with the likes of Zlatan Ibrahimovic at a Paris St Germain training session earlier in the year, in which all three of the Beckham boys showed some glorious touches of skill and even managed to make the Swedish superstar look a bit silly at one point.