Match Summary
The Red Devils' poor run of form persisted at Elland Road, but head coach Ruben Amorim had Matheus Cunha to thank for the team avoiding even more disappointment against their old rivals.
The Everton loanee directed a first-half attempt against the woodwork for the confident home team before the American midfielder applied a cool finish with a low, 62nd-minute effort.
At that stage, Amorim was under intense scrutiny after his side had been held by bottom-of-the-table Wolves at home earlier in the week.
Nevertheless, against opponents who had two days less to prepare, the forward levelled three minutes later when he ran on to a pass from substitute the Dutchman and slid a finish underneath advancing 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 several key attacking players due to a mix of injury and international duty.
Not that Leeds to sympathise with that given their own tight schedule.
The Swiss attacker forced a diving save out of visiting 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 his teammate's cut-back wide from close range.
The goalscorer, who had a goal disallowed for offside much earlier in the match, also fired against a post in the dying moments.
The draw prolongs the home side's unbeaten run to seven games, their best 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 matter of hours, squandered.
With the Africa Cup of Nations reaching its knockout phase, the United coach could be forgiven for hoping the involved countries make a pretty quick exit.
Current injuries to skipper Bruno Fernandes and Three Lions star Mason Mount only exacerbated the impact the absence of other forwards is having on the team's options.
It's not that the missing pair are the answer to all of United's problems. After all, they were part of the side that experienced poor results earlier in the campaign.
But without them, Amorim has few alternatives in attack.
He evidently does not have full faith in teenager Shea Lacey or the seasoned Joshua Zirkzee, even though the Dutch forward provided the through ball for Cunha's equaliser almost instantly after his arrival as a substitute.
That leaves Cunha, who has now scored a small tally in recent outings, and others operating out of their natural positions, alongside Benjamin Sesko.
On this evidence, the big-money frontman looks no better than previous struggling signings, lacking in belief and conviction 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 last few home games, the arrival of their biggest rivals to Elland Road was a comparatively subdued affair.
True, there were instances of typical fervor, but the hostile edge was not as pronounced as in previous fixtures.
The home fans were more concerned about their side's inability to get worthwhile possession in advanced areas for any length of time.
The Calvert-Lewin 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' delirious fans thought they were about to secure a coveted win against Manchester United.
However, there is a much bigger picture for Daniel Farke and Leeds to deal with.
When they suffered a poor run of form earlier in the season, many thought about the manager's position.
Instead, he is now masterminding significant improvement.
The job is not done yet but step by step, Leeds are getting nearer to securing their survival.
The Yorkshire club have a top-flight trip to Newcastle in midweek, followed by the start of their domestic cup campaign next weekend. Manchester United face a Premier League trip to Turf Moor before also entering their FA Cup journey with a Old Trafford tie.