Key Moments
Manchester United's disappointing run of form persisted at Elland Road, but manager the Portuguese tactician had Matheus Cunha to thank for the team not suffering even more disappointment against their old rivals.
Dominic Calvert-Lewin directed a first-period attempt against the post for the confident hosts before Brenden Aaronson applied a cool finish with a driven, 62nd-minute effort.
With the goal, Amorim was in the firing line after his side had been held by struggling Wolverhampton Wanderers at home earlier in the week.
Nevertheless, against opponents who had less time to prepare, the forward levelled three minutes after the opener when he latched onto a pass from substitute the Dutchman and guided a finish underneath rushing home goalkeeper Lucas Perri.
It was only the South American'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 injury and national team commitments.
Not that the hosts to sympathise with that given their own tight schedule.
Noah Okafor forced a diving 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 impression, 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 match, also blasted 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 eight points clear of the drop zone.
For the visitors though, it was yet another opportunity to move into fourth spot, albeit only for a short time, squandered.
With the Africa Cup of Nations reaching its latter stages, the United coach could be forgiven for hoping the participating nations make a pretty quick exit.
Current injuries to skipper 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 solution to all of United's problems. After all, they were part of the side that suffered poor results earlier in the season.
But without them, the boss has limited alternatives in attack.
He clearly does not trust teenager Shea Lacey or the seasoned Zirkzee, even though the Netherlands forward delivered the assist for Cunha's equaliser almost instantly after his arrival as a substitute.
That leaves Cunha, who has now scored three goals in recent outings, and others operating out of their natural positions, alongside Benjamin Sesko.
On this evidence, the expensive frontman looks similar to previous underwhelming signings, lacking in confidence and conviction 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 last few home games, the arrival of their fiercest rivals to Elland Road was a bit drab affair.
True, there were moments of typical atmosphere, but the hostile edge was not as pronounced as in other encounters.
Leeds' fans were more preoccupied about their side's inability to get worthwhile possession in advanced areas for any length of time.
The striker's header that struck the post was an isolated moment of threat in a congested first half.
It still felt as though Leeds were finding it tough when a mistake opened the door for Aaronson.
Ever so briefly, The home ecstatic fans thought they were about to secure a coveted win against Manchester United.
Nevertheless, there is a much bigger picture for Daniel Farke 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 step by step, the team are getting nearer to achieving their survival.
The Yorkshire club have a Premier League trip to Newcastle in midweek, followed by the start of their domestic cup campaign next weekend. The Red Devils face a league trip to Burnley before also beginning their FA Cup journey with a Old Trafford tie.
A tech journalist with over a decade of experience covering emerging technologies and digital trends across Europe.