Match Summary
The Red Devils' poor recent struggles continued at Leeds' fortress, but head coach Ruben Amorim had Matheus Cunha to thank for his side not suffering even more damage against Leeds.
The Everton loanee directed a first-half attempt against the woodwork for the in-form home team before Brenden Aaronson finished superbly with a low, 62nd-minute shot.
With the goal, Amorim was in the firing line after his side had failed to beat bottom-of-the-table Wolverhampton Wanderers at home earlier in the week.
Nevertheless, against a team who had two days less to recover, Cunha levelled three minutes after the opener when he latched onto a through ball from substitute the Dutchman and guided a finish underneath advancing home goalkeeper Lucas Perri.
It was only the South American's fourth goal since his high-profile summer move and came at a time when the manager is without several key attacking players due to a combination of fitness issues and international duty.
Not that you would expect Leeds to sympathise with that given their own tight schedule.
Noah Okafor forced a diving save out of visiting goalkeeper Senne Lammens with a spectacular overhead kick, and visiting heads were in hands when the Slovenian striker, who is finding it hard to make an impact, turned his teammate's cut-back wide from six yards out.
The goalscorer, who had a goal disallowed for offside much earlier in the match, also blasted against a post late on.
The point extends Leeds' unbeaten run to seven matches, their best such streak since 2001, and takes them a significant margin clear of the relegation zone.
For the Manchester United though, it was yet another chance to move into the Champions League places, albeit only for a matter of hours, squandered.
With the Africa Cup of Nations reaching its knockout phase, the United coach could be understood for hoping the involved countries make a pretty quick exit.
Existing injuries to skipper Bruno Fernandes and England international Mason Mount only exacerbated the impact the unavailability of other forwards is having on Amorim's options.
It's not that the absent players are the solution to all of United's problems. After all, they were part of the side that experienced disappointing results earlier in the campaign.
But without them, Amorim has few alternatives in attack.
He clearly does not have full faith in youngster Shea Lacey or the seasoned Zirkzee, even though the Dutch forward delivered the through ball for the equaliser almost instantly after his arrival as a replacement.
That leaves Cunha, who has now scored a small tally in recent outings, and others playing out of their natural positions, alongside Sesko.
On this showing, the expensive frontman looks no better than previous underwhelming signings, lacking in belief and conviction in front of goal.
Sesko's failure to turn home Zirkzee's cross means it is now nine games without a goal for the new signing.
After memorable victories in their last few home games, the arrival of their biggest rivals to home was a bit drab affair.
True, there were moments of typical atmosphere, but the hostile edge was not as pronounced as in previous fixtures.
The home fans were more concerned about their side's inability to get worthwhile possession in dangerous areas for any prolonged period.
The striker's header that clipped the post was an rare moment of quality in a tight first half.
It still felt as though the hosts were struggling when a mistake opened the door for the opener.
For a short moment, Leeds' delirious fans thought they were about to secure a rare win against their old foes.
However, there is a wider context for Daniel Farke and Leeds to deal with.
When they endured a poor run of form earlier in the season, many speculated about the manager's future.
In contrast, he is now overseeing significant improvement.
The task is not completed yet but gradually, Leeds are getting closer to achieving their survival.
The Yorkshire club have a Premier League trip to Newcastle in midweek, followed by the start of their domestic cup campaign next weekend. The Red Devils face a league trip to Burnley before also beginning their cup journey with a home tie.