Match Summary
The Red Devils' disappointing recent struggles persisted at Elland Road, but manager the Portuguese tactician had Matheus Cunha to thank for the team not suffering even more damage against Leeds.
Dominic Calvert-Lewin headed a first-half effort against the post for the in-form hosts before the American midfielder applied a cool finish with a low, 62nd-minute effort.
At that stage, Amorim was in the firing line after his side had failed to beat struggling Wolves at home earlier in the week.
Nevertheless, against opponents who had less time to recover, the forward restored parity three minutes after the opener when he ran on to a pass from substitute the Dutchman and guided a shot underneath rushing Leeds goalkeeper Lucas Perri.
It was only the South American'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 combination of injury and national team commitments.
Not that you would expect the hosts to care about that given their own tight schedule.
Noah Okafor forced a full length save out of Manchester United goalkeeper Senne Lammens with a spectacular 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 close range.
Cunha, who had a goal ruled out for offside much earlier in the match, also fired against a post late on.
The point prolongs Leeds' unbeaten run to seven games, their longest such streak since over two decades ago, and takes them eight points clear of the relegation zone.
For the Manchester United though, it was yet another opportunity to move into the Champions League places, albeit only for a short time, wasted.
With the Africa Cup of Nations reaching its knockout phase, the United coach could be understood for hoping the participating nations make a pretty quick exit.
Current injuries to captain Bruno Fernandes and Three Lions star Mason Mount only heightened the impact the unavailability of other attackers is having on the team's squad.
It's not that the missing pair are the answer to all of the club's problems. After all, they were part of the side that suffered disappointing results earlier in the season.
But without them, Amorim has few attacking options.
He evidently does not have full faith in youngster Shea Lacey or the much more experienced Joshua Zirkzee, even though the Dutch forward provided the assist for the equaliser almost instantly after his arrival as a replacement.
That leaves the Brazilian, who has now scored a small tally in recent outings, and others operating out of their preferred positions, alongside Sesko.
On this evidence, the expensive frontman looks no better than previous struggling signings, lacking in belief and conviction in front of goal.
His failure to turn home the cross means it is now a long run without a goal for the young striker.
After memorable victories in their previous home games, the arrival of their fiercest rivals to home was a bit drab affair.
True, there were moments of expected fervor, but the hostile edge was not as evident as in other fixtures.
The home fans were more preoccupied about their side's inability to get sustained possession in advanced areas for any length of time.
The striker's header that clipped the post was an isolated moment of threat in a tight first half.
It still felt as though the hosts were struggling when a mistake opened the door for the opener.
Ever so briefly, The home ecstatic fans thought they were about to secure a coveted win against Manchester United.
However, there is a much bigger picture for Daniel Farke and the club to deal with.
When they endured a poor run of form earlier in the season, many thought about the manager's future.
Instead, he is now overseeing clear improvement.
The job is not completed yet but step by step, Leeds are getting closer to achieving their top-flight status.
The Yorkshire club have a Premier League trip to Newcastle in midweek, followed by the start of their FA Cup campaign next weekend. The Red Devils face a league trip to Burnley before also entering their FA Cup journey with a home tie.
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