Fine finishes from Gabriel and Noah Ajayi in the space of two first-half minutes put the young Reds in control.
As Wolves improved after the break, Mason Stevens halved the deficit in the 80th minute to make for a nervy finale but Gabriel’s stoppage-time penalty clinched the victory.
It ensures Darren Fletcher’s side continue to keep pace with leaders Manchester City, who won 5-3 at Newcastle United, at the top of the U18 Premier League North table.
FIRST HALF - TWO QUICKFIRE GOALS FOR UNITED
As the training ground basked in some welcome wintry sunshine, United - showing seven changes from the midweek Youth Cup win at Oxford - had to be patient to find a way through a resolute Wolves side, who were smarting from a thumping 7-0 defeat at Manchester City on Tuesday.