Key Moments
The Red Devils' poor recent struggles persisted at Leeds' fortress, but manager Ruben Amorim had Matheus Cunha to thank for the team not suffering even more disappointment against their old rivals.
Dominic Calvert-Lewin directed a first-half attempt against the woodwork for the in-form hosts before the American midfielder finished superbly with a driven, 62nd-minute shot.
At that stage, the United boss was under intense scrutiny after his side had failed to beat struggling Wolverhampton Wanderers at home earlier in the week.
However, against opponents who had less time to prepare, the forward levelled three minutes later when he latched onto a pass from substitute the Dutchman and guided a shot underneath rushing home goalkeeper Lucas Perri.
It was only the South American's fourth Premier League 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 national team commitments.
Not that you would expect Leeds to sympathise with that given their own tight schedule.
The Swiss attacker forced a full length save out of visiting goalkeeper Senne Lammens with a audacious overhead kick, and United heads were in hands when the Slovenian striker, who is finding it hard to make an impression, turned his teammate's cut-back wide from six yards out.
The goalscorer, who had a goal ruled out for offside much earlier in the match, also fired against a post late on.
The point prolongs the home side's unbeaten run to seven games, their best such streak since 2001, and takes them a significant margin clear of the relegation zone.
For the visitors though, it was yet another opportunity to move into fourth spot, albeit only for a short time, squandered.
With the Africa Cup of Nations reaching its knockout phase, the United coach could be forgiven for hoping the participating nations make a swift exit.
Current injuries to skipper Bruno Fernandes and Three Lions star Mason Mount only exacerbated the impact the unavailability of other attackers is having on the team's options.
It's not that the absent players are the answer to all of United's problems. After all, they were part of the side that experienced poor results earlier in the campaign.
But without them, Amorim has few attacking options.
He clearly does not have full faith in youngster Shea Lacey or the much more experienced Zirkzee, even though the Dutch forward provided the assist for the equaliser almost immediately after his arrival as a replacement.
That leaves the Brazilian, who has now scored three goals in recent outings, and others playing out of their preferred positions, alongside Sesko.
On this showing, the big-money frontman looks similar to previous struggling signings, lacking in belief and conviction in front of goal.
His failure to turn home Zirkzee's cross means it is now a long run without a goal for the young striker.
After thrilling victories in their last few home games, the arrival of their fiercest rivals to home was a bit drab affair.
True, there were moments of expected atmosphere, but the hostile edge was not as pronounced as in other fixtures.
Leeds' fans were more concerned about their side's inability to get sustained possession in advanced areas for any prolonged period.
The striker's header that clipped the post was an isolated moment of threat in a tight first half.
It still felt as though Leeds were finding it tough when a defensive error opened the door for the opener.
For a short moment, The home ecstatic fans thought they were about to secure a rare win against their old foes.
Nevertheless, there is a much bigger picture for the manager and Leeds to deal with.
When they suffered a difficult run of form earlier in the season, many speculated about the manager's position.
Instead, he is now overseeing clear progress.
The job is not completed yet but gradually, the team are getting nearer to securing their survival.
Leeds 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.