Key Moments
Manchester United's poor run of form persisted at Elland Road, but head coach the Portuguese tactician had Matheus Cunha to thank for his side avoiding even more disappointment against their old rivals.
Dominic Calvert-Lewin directed a first-period attempt against the post for the confident home team before Brenden Aaronson finished superbly with a driven, 62nd-minute shot.
With the goal, the United boss was under intense scrutiny after his side had been held by bottom-of-the-table Wolves at Old Trafford earlier in the week.
However, against opponents who had less time to recover, the forward restored parity three minutes after the opener when he latched onto a through ball from introduced Joshua Zirkzee and guided a shot underneath rushing 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 Amorim is without four key attacking players due to a combination of fitness issues and international duty.
Not that the hosts to sympathise with that given their own tight schedule.
The Swiss attacker forced a full length save out of Manchester United goalkeeper Senne Lammens with a audacious overhead kick, and visiting heads were in hands when Benjamin Sesko, who is struggling to make an impact, 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 contest, also blasted against a post late on.
The draw extends Leeds' unbeaten run to seven matches, their best such streak since over two decades ago, and takes them a significant margin 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 knockout phase, Amorim 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 attackers is having on the team's options.
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 experienced disappointing results earlier in the season.
But without them, Amorim has few alternatives in attack.
He evidently does not have full faith in teenager Shea Lacey or the much more experienced Joshua Zirkzee, even though the Dutch forward provided the assist for the equaliser almost immediately after his introduction as a substitute.
That leaves the Brazilian, who has now scored a small tally in recent outings, and others operating out of their preferred positions, alongside Benjamin Sesko.
On this evidence, the expensive frontman looks no better than previous struggling 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 new signing.
After memorable victories in their last few home games, the arrival of their biggest rivals to Elland Road was a bit drab affair.
True, there were instances of typical fervor, but the intimidating edge was not as evident as in previous encounters.
The home fans were more concerned about their side's struggle to get sustained possession in advanced areas for any prolonged period.
The striker's header that clipped the post was an rare moment of threat in a tight 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 rare win against Manchester United.
Nevertheless, there is a wider context for the manager and Leeds to deal with.
When they endured a difficult run of form earlier in the campaign, many speculated about the manager's position.
Instead, he is now masterminding clear progress.
The task is not completed yet but gradually, Leeds are getting closer to securing their top-flight status.
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. The Red Devils face a Premier League trip to Burnley before also entering their cup journey with a Old Trafford tie.
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