Fully vaccinated NHS staff in England may be made exempt from having to self-isolate if they are traced as a Covid contact.
Health bosses have been urging the Government to change the rules amid fears of staff shortages.
Sources said no decision had been taken and ministers wanted to see evidence the move would be safe.
If it goes ahead, self-isolation would be replaced with daily tests from July 19, when wider curbs are eased.
Saffron Cordery, deputy chief executive at NHS Providers, 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 added: "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."
Health and social care workers were among the first people in the UK to be eligible for a coronavirus vaccine when it became available in December 2020.
Of the estimated 1.3 million NHS trust health care workers in England, around 1.1 million have received two vaccine doses, according to NHS England data.
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