Ministers consider excluding fully vaccinated NHS staff in England from having to quarantine if they are marked out as a Covid contact.
Health bosses have been insisting the government change the rules amid worries of staff shortages.
Sources said no verdict had been taken, and ministers wanted to see evidence the move would be safe.
If it goes ahead, self-isolation would be substituted with daily tests from 19 July, when wider curbs are reduced.
The idea echoes a comparable policy applicable to all fully vaccinated people and children in England from 16 August.
It comes amid the warning by medical leaders that the Covid situation in the UK will worsen before it gets better with the NHS “under unprecedented pressure”.
Saffron Cordery, deputy chief executive at NHS Providers, which embodies health trusts, said double-jabbed health service staff “should be able to carry on working even if they are pinged” by the NHS Covid-19 app.
She stated, “The government should bring that in as soon as possible. I can’t see any reason to delay. NHS trusts are struggling with the number of staff having to isolate – anecdotally we’re seeing significant numbers off [work].”
“We’ve picked up on the fact some staff are deleting the app, but it’s not happening on a big, widespread scale at this point.”
Health and social care workers were among the first segment in the UK to be eligible for a coronavirus vaccine when it became available in December 2020.
Of the projected 1.3m NHS trust health care workers in England, around 1.1m has received two vaccine doses, as per data from NHS England.
Prof Helen Stokes-Lampard, chairwoman of the Academy of Medical Royal Colleges, shared with BBC Radio 4’s Today programme that she was pleased the evidence for changing the policy for fully vaccinated health workers was being revised, adding that it “sounds like a sensible next step”.
And Dr David Wrigley, from the British Medical Association, mentioned NHS staff who have had both jabs “should be able to work if it is deemed safe so to do” – as long as they have the suitable personal protective equipment and their workplace “adheres to the most stringent of infection controls”.