There was a record rise in the number of workers on payrolls in May as the jobs market continued to recover.
The Office for National Statistics (ONS) said there were 197,000 more people in payrolled employment last month compared with April, the highest rise since records began in 2014.
It came as the unemployment rate fell again to 4.7% in the three months to April, down from 4.8% previously.
But unemployment remained high among the young and those in based in London.
Sam Beckett, ONS head of economic statistics, said: "The number of employees on payroll grew strongly in May, up by almost 200,000, although it is still over half a million down since the pandemic struck.
What's going on in the jobs market?
Unemployment rose sharply last year as the UK went through successive lockdowns, but it has gradually fallen in 2021 as restrictions are eased.
Firms appear to be expanding again, with the number of job vacancies in most industries above pre-pandemic levels in May, according to the ONS.
Similarly, the redundancy rate is back to levels seen before the spread of coronavirus.
However, the number of workers on company payrolls in the accommodation and food services sector, aged under 25, or living in London remains "well below" pre-pandemic levels, the ONS said.
What do jobseekers think?
After a long hiatus, DJ and music producer Sean Dakin will be playing a few socially distanced gigs during the Euro football championships.
He has also started freelancing again in sales and as an editor after the best part of a year with no proper income.
His fear now is that the job opportunities will dry up again because of the delay to unlocking Covid restrictions.
"If we are pushing things back we need urgent help for those in hospitality, theatre, nightclubs, other late night venues," he told the BBC.
"It's absolutely a disgrace that dates are moved with what feels like little thought for the consequences with a complete disregard for peoples' mental health and incomes."
He says he understands the need to protect public health, but that the UK "cannot afford to stumble every time there's a variant and cases rise a little".
How has furlough helped?
Paul Dales, chief UK economist at Capital Economics, told the BBC's Today programme that the figures showed the labour market was "starting to turn in a good way after quite a painful year".
"It is pretty much all down to the furlough scheme," he said.
"That has been a huge success and quite frankly one of the best government policies I think that the modern economy has ever seen. Without that I do think we would have had unemployment rates of 8-9%, similar to the peaks we saw during the global financial crisis."
Mr Dales noted there were still 3.4 million people on furlough but said the "way the wind is blowing" meant many would end up returning to their jobs. If they did not, he said it "wouldn't be too long until they found another one".
Will the delay to unlocking spoil things?
There are fears the four-week delay to fully unlocking Covid restrictions will harm many firms, and the government has said it will not extend the furlough scheme (due to end in September) or other financial support. Hospitality, wedding and night-time entertainment businesses have all reacted with dismay.
However, Yael?Selfin, chief economist at KPMG, said she expected the labour market to improve despite the delay, and that employers may struggle to fill gaps.
"Sharp declines in furloughed employees in those sectors that reopened on 12 April... coupled with anecdotal evidence of significant difficulties to fill vacancies in some sectors, point at increasing challenges to add staff in the coming months."
What do politicians say?
Chancellor Rishi Sunak said: "Our Plan for Jobs is working - the latest forecasts for unemployment are around half of what was previously feared and the number of employees on payroll is at its highest level since April last year."
But Labour's shadow chancellor, Rachel Reeves, said the government needed to do more for businesses affected by the delay to removing restrictions.
"Many businesses have financial pinch points coming up but are still struggling to turn a profit.
"If businesses have to stay closed or operate at massively reduced capacity they're not going to be able to pay staff, rents and loans back. Government support must recognise that."
London hit hardest
Analysis box by Andy Verity, economics correspondent
There are a number of upbeat indicators in today's jobs figures. Granted the latest estimate of the number on employers' payrolls remains over half a million below its pre-pandemic level. The living standards think-tank the Resolution Foundation also estimates there are still 2.8 million people who remain on furlough and self-employed income support schemes who need to find work as support is withdrawn.
But that's down from 6.2 million in March. And the number of job vacancies, at 758,000, is now back up to pre-pandemic levels. What's unlike any other economic crisis of the past 50 years is that in this one, it's London that's been hardest hit by unemployment.
With financial sector employees continuing to work from home in large numbers, there's less demand for the restaurants, coffee shops and shops that cater for the City of London's much-reduced army of commuters. London alone still has fewer employees than it did in May last year and it now has the highest unemployment rate, at 6.5%, of any region.