At a Glance
The Red Devils' disappointing recent struggles persisted at Elland Road, but manager the Portuguese tactician had Matheus Cunha to thank for the team avoiding even more damage against their old rivals.
The Everton loanee directed a first-half attempt against the woodwork 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 been held by bottom-of-the-table Wolves at home earlier in the week.
Nevertheless, against opponents who had less time to recover, the forward levelled three minutes after the opener when he ran on to a through ball from introduced Joshua Zirkzee and guided a finish underneath advancing 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 the manager is without several key attacking players due to a mix of injury and international duty.
Not that you would expect the hosts to care about that given their own lack of preparation time.
The Swiss attacker forced a full length save out of Manchester United goalkeeper Senne Lammens with a audacious overhead kick, and United 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 contest, also blasted against a post late on.
The draw extends Leeds' unbeaten run to seven games, their longest 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 chance to move into fourth spot, albeit only for a matter of hours, wasted.
With the AFCON reaching its knockout phase, the United coach could be forgiven for hoping the participating nations make a pretty quick exit.
Existing injuries to skipper Bruno Fernandes and England international Mason Mount only heightened the impact the unavailability of other forwards is having on the team's options.
It's not that the absent players 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 season.
But without them, Amorim has limited alternatives in attack.
He evidently does not have full faith in youngster Shea Lacey or the much more experienced Zirkzee, even though the Netherlands forward provided the through ball for the equaliser almost instantly after his arrival as a replacement.
That leaves the Brazilian, who has now scored three goals in five games, and others operating out of their preferred positions, alongside Sesko.
On this showing, the expensive frontman looks no better than previous underwhelming signings, lacking in confidence 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 thrilling victories in their previous home games, the arrival of their fiercest rivals to home was a bit drab affair.
True, there were instances of typical 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 dangerous areas for any length of time.
The striker's header that struck the post was an isolated 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' delirious fans thought they were about to secure a coveted win against their old foes.
However, 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 season, many thought about the manager's future.
Instead, he is now overseeing significant improvement.
The job is not completed yet but gradually, the team are getting closer to securing their survival.
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 Premier League trip to Burnley before also beginning their cup journey with a Old Trafford tie.
A tech journalist specializing in UK digital policy and startup ecosystems, with a background in computer science.