Match Summary
The Red Devils' disappointing recent struggles persisted at Elland Road, but head coach the Portuguese tactician had Matheus Cunha to thank for his side avoiding even more damage against Leeds.
Dominic Calvert-Lewin directed a first-period attempt against the woodwork for the confident home team before Brenden Aaronson applied a cool finish with a driven, 62nd-minute effort.
At that stage, Amorim was under intense scrutiny after his side had failed to beat bottom-of-the-table Wolverhampton Wanderers at Old Trafford earlier in the week.
Nevertheless, against opponents who had less time to prepare, Cunha levelled three minutes later when he ran on to a pass from introduced 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 four key attacking players due to a mix of injury and international duty.
Not that you would expect the hosts to sympathise with that given their own lack of preparation time.
The Swiss attacker forced a diving save out of visiting goalkeeper Senne Lammens with a audacious overhead kick, and visiting heads were in hands when the Slovenian striker, who is struggling to make an impression, turned his teammate's cut-back wide from close range.
Cunha, who had a goal ruled out for offside much earlier in the match, also fired against a post in the dying moments.
The draw extends Leeds' unbeaten run to seven games, their best such streak since over two decades ago, and takes them a significant margin clear of the relegation zone.
For the Manchester United though, it was yet another chance to move into fourth spot, albeit only for a matter of hours, squandered.
With the Africa Cup of Nations reaching its knockout phase, Amorim could be forgiven for hoping the participating nations make a swift exit.
Existing injuries to captain Bruno Fernandes and Three Lions star Mason Mount only exacerbated the impact the absence of other forwards is having on Amorim's squad.
It's not that the missing pair are the solution to all of the club's problems. After all, they were part of the side that experienced disappointing results earlier in the campaign.
But without them, the boss has limited attacking options.
He evidently does not trust teenager Shea Lacey or the much more experienced Zirkzee, even though the Dutch forward provided the through ball for Cunha's equaliser almost immediately after his arrival as a replacement.
That leaves Cunha, who has now scored three goals in five games, and others operating out of their preferred positions, alongside Benjamin 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 nine games without a goal for the new signing.
After memorable victories in their previous home games, the arrival of their fiercest rivals to home was a comparatively subdued affair.
True, there were moments of expected atmosphere, but the intimidating edge was not as pronounced as in other fixtures.
Leeds' fans were more concerned about their side's struggle to get sustained possession in dangerous areas for any length of time.
The striker's header that clipped the post was an isolated moment of threat in a congested first half.
It still felt as though Leeds were struggling when a defensive error opened the door for the opener.
For a short moment, The home delirious fans thought they were about to secure a coveted win against Manchester United.
However, there is a much bigger picture for the manager and the club to deal with.
When they endured a difficult run of form earlier in the campaign, many speculated about the manager's position.
In contrast, he is now overseeing clear improvement.
The job is not completed yet but gradually, the team are getting closer to achieving their survival.
The Yorkshire club have a top-flight trip to St James' Park in midweek, followed by the start of their domestic cup campaign next weekend. Manchester United face a league trip to Turf Moor before also beginning their cup journey with a Old Trafford tie.
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