Key Moments
The Red Devils' disappointing run of form continued at Leeds' fortress, but manager the Portuguese tactician had Matheus Cunha to thank for his side avoiding even more disappointment against Leeds.
Dominic Calvert-Lewin headed a first-period effort against the woodwork for the in-form hosts before the American midfielder finished superbly with a low, 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.
Nevertheless, against a team who had less time to recover, the forward levelled three minutes later when he latched onto a through ball from substitute Joshua Zirkzee and slid a shot underneath advancing Leeds goalkeeper Lucas Perri.
It was only the Brazilian's fourth Premier League goal since his high-profile summer move and came at a time when the manager is without four key attacking players due to a combination of injury and international duty.
Not that you would expect Leeds to care about that given their own lack of preparation time.
Noah Okafor forced a full length 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 impression, turned his teammate's cut-back wide from close range.
Cunha, who had a goal ruled out for offside much earlier in the contest, also fired against a post late on.
The point prolongs the home side's unbeaten run to seven games, their longest such streak since over two decades ago, and takes them a significant margin clear of the relegation zone.
For the visitors though, it was yet another chance to move into fourth spot, albeit only for a short time, squandered.
With the Africa Cup of Nations reaching its knockout phase, Amorim could be forgiven for hoping the involved countries make a pretty quick exit.
Current injuries to captain Bruno Fernandes and England international Mason Mount only exacerbated the impact the absence of other forwards 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 suffered disappointing 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 seasoned Zirkzee, even though the Dutch forward provided the assist for Cunha's equaliser almost immediately after his arrival as a substitute.
That leaves the Brazilian, who has now scored three goals in recent outings, and others operating out of their preferred positions, alongside Sesko.
On this showing, the big-money frontman looks similar to previous struggling signings, lacking in confidence and assurance in front of goal.
Sesko's failure to turn home the cross means it is now nine games without a goal for the young striker.
After thrilling victories in their previous home games, the arrival of their biggest rivals to Elland Road was a comparatively subdued affair.
True, there were moments of expected fervor, but the hostile edge was not as evident as in other fixtures.
Leeds' fans were more concerned about their side's struggle to get worthwhile possession in dangerous areas for any prolonged period.
The striker's header that struck the post was an rare moment of quality in a congested first half.
It still felt as though Leeds were finding it tough when a mistake opened the door for the opener.
For a short moment, Leeds' ecstatic fans thought they were about to secure a coveted win against their old foes.
Nevertheless, there is a wider context for Daniel Farke and the club to deal with.
When they suffered a difficult run of form earlier in the campaign, many thought about the manager's position.
In contrast, he is now masterminding significant improvement.
The task is not completed yet but gradually, Leeds are getting nearer to achieving their survival.
Leeds have a top-flight trip to Newcastle in midweek, followed by the start of their domestic cup campaign next weekend. The Red Devils face a Premier League trip to Turf Moor before also beginning their FA Cup journey with a home tie.
A passionate writer and community advocate who shares stories about urban life and local culture.