Health Secretary Sajid Javid said he would set out self-isolation changes for those who have had both vaccine doses in Parliament later today.
The changes will be annoiunced after Prime Minister Boris Johnson set out what he hopes the lockdown lifting will be on July 19.
Those changes - which will include ditching the rules on masks - will be confirmed on July 12.
Mr Javid said: “We will have a more proportionate system of test, trace and isolate, and it is absolutely right that those that have been double jabbed that we can take a different approach than the one we take today.
“In terms of what we will be doing exactly, you will have to wait for my statement to Parliament later today.”
At present anyone who comes into contact with someone who has Covid-19 has to self-isolate at home for 10 days.
Mr Javid denied that there was a figure being considered as an acceptable excess mortality rate from coronavirus as restrictions are lifted in England.
“It’s not about some number of deaths being acceptable, of course not,” he told Sky News.
“What we are seeing is that with rising case numbers, yesterday I said we could see a doubling of case numbers by the time we get to July 19, we are not seeing a corresponding increase in hospitalisations and deaths numbers.
“That is because the vaccine is working, that’s what the vaccine is for.”
