Key Moments
The Red Devils' disappointing recent struggles persisted at Elland Road, but head coach Ruben Amorim had Matheus Cunha to thank for the team avoiding even more disappointment against their old rivals.
The Everton loanee headed a first-half effort against the woodwork for the in-form home team before Brenden Aaronson finished superbly with a low, 62nd-minute shot.
At that stage, 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.
However, against a team who had two days less to prepare, Cunha restored parity three minutes after the opener when he ran on to a pass from substitute the Dutchman and slid a shot underneath rushing Leeds goalkeeper Lucas Perri.
It was only the Brazilian's fourth Premier League goal since his big-money summer move and came at a time when Amorim is without several key attacking players due to a mix of injury and international duty.
Not that you would expect the hosts to care about that given their own lack of preparation time.
Noah Okafor forced a diving save out of visiting goalkeeper Senne Lammens with a audacious overhead kick, and visiting heads were in hands when Benjamin Sesko, who is finding it hard to make an impact, turned Zirkzee's cut-back wide from six yards out.
The goalscorer, who had a goal disallowed for offside much earlier in the contest, also blasted against a post in the dying moments.
The point extends the home side's unbeaten run to seven games, their best such streak since over two decades ago, and takes them eight points clear of the drop zone.
For the visitors though, it was yet another chance to move into fourth spot, albeit only for a short time, wasted.
With the Africa Cup of Nations reaching its latter stages, the United coach could be forgiven for hoping the involved countries make a pretty quick exit.
Existing injuries to captain Bruno Fernandes and Three Lions star Mason Mount only heightened the impact the unavailability of other forwards is having on the team's squad.
It's not that the absent players are the answer to all of the club's problems. After all, they were part of the side that experienced poor results earlier in the campaign.
But without them, the boss has limited alternatives in attack.
He evidently does not have full faith in youngster Shea Lacey or the seasoned Joshua Zirkzee, even though the Dutch forward delivered the through ball for the equaliser almost instantly after his introduction as a substitute.
That leaves the Brazilian, who has now scored three goals in five games, and others operating out of their natural positions, alongside Benjamin Sesko.
On this showing, the big-money frontman looks similar to previous underwhelming signings, lacking in belief and assurance 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 memorable victories in their last few home games, the arrival of their fiercest rivals to home was a bit drab affair.
True, there were instances of typical fervor, but the hostile edge was not as evident as in other encounters.
Leeds' fans were more preoccupied about their side's struggle to get sustained possession in dangerous areas for any length of time.
The striker's header that struck the post was an isolated moment of quality in a congested first half.
It still felt as though Leeds were struggling when a mistake opened the door for Aaronson.
Ever so briefly, The home delirious fans thought they were about to secure a rare win against their old foes.
However, there is a wider context for the manager and Leeds to deal with.
When they suffered a poor run of form earlier in the campaign, many thought about the manager's position.
In contrast, he is now overseeing clear progress.
The job is not completed yet but step by step, Leeds are getting nearer to securing their survival.
Leeds have a top-flight trip to St James' Park in midweek, followed by the start of their FA Cup campaign next weekend. Manchester United face a league trip to Burnley before also entering their FA Cup journey with a Old Trafford tie.
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