United's youngsters would have ensured their Premier League Two, Division One survival with a victory in Friday night's season finale at Arsenal which instead ended in a 1-1 draw.
The result provided a let off for fourth-bottom Everton who were walloped 7-0 at champions Manchester City the same night and would have been leapfrogged by Leeds given a victory at the Emirates.
It meant Chelsea could have ensured their survival and relegated Leeds with victory in Sunday afternoon's clash at Blackburn Rovers but the Blues fell to a 4-3 defeat as Jack Vale netted a four-timer meaning United's survival bid goes to the final game.
Chelsea's under-23s take in their final game of the season next Sunday afternoon in a 1pm kick-off at home to Tottenham Hotspur's under-23s who sit seventh.
Leeds stay two points ahead of Chelsea meaning the Blues will need to win to stay up and send the Whites down.