More than 416 further coronavirus deaths have been recorded in UK hospitals.
The increase consists of 350 in England, 50 in Scotland and 16 in Wales.
Data from Northern Ireland are yet to be published.
No UK-wide figures from the Department of Health and Social Care (DHSC) have been released, so the total is taken from each nation’s individual reporting.
It brings the working total to 32,481.
But the UK government total that will be released later today will be significantly higher as it will take into account deaths in care homes and communities.
Separate figures from the Office for National Statistics and similar agencies in the devolved regions suggest that at least 38,355 people have died with Covid-19 mentioned on their death certificate.
Analysis from the Press Association suggested that the UK has actually now passed the 40,000 deaths mark.
These figures show that 35,044 deaths involving Covid-19 occurred in England and Wales up to May 1 (and had been registered up to May 9).
The latest figures from the National Records of Scotland, published last week, showed 2,795 deaths involving Covid-19 had been registered in Scotland up to May 3.
And the latest figures from the Northern Ireland Statistics and Research Agency, also published last week, showed 516 deaths involving Covid-19 had been registered in Northern Ireland up to May 6.
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Together these figures mean that so far 38,355 deaths have been registered in the UK where Covid-19 was mentioned on the death certificate, including suspected cases.
A further 1,678 hospital patients in England who had tested positive for Covid-19 died between May 2 and May 10, according to figures published on Monday by NHS England - which, together with the total figure of 38,355 registered deaths, indicates the overall death toll for the UK is just over 40,000.
The new deaths have been reported as the country prepares to ease the lockdown.
From tomorrow, people will be allowed outside for an unlimited amount of time for exercise, providing they continue to maintain social distancing.
There are major warnings that a second spike of the virus could occur if people to not maintain distance between each other.
