Health Secretary Sajid Javid said he would continue to wear a face mask on busy trains.
He suggested people should make individual decisions after examining the latest data on the virus.
His statement comes after Boris Johnson announced the end of all Covid rules and regulations in England.
Mr Javid told LBC: “For now, although the infection levels have been falling significantly, week after week, I think where infection levels are at the moment, if I was on the London Tube, for example, and it was packed, I would wear a face mask.”
He said “these are now personal decisions, we want people to take more personal responsibility”.
“I would look at what’s the general prevalence, where case numbers are, where infection numbers are, hospitalisation numbers… we provide that data on a daily basis, it’s there for everyone to see.
“I think taking all that into account, I would make a decision.”
Mr Javid said there had been a “debate” in Government about the final shape of the “living with Covid” plan.
The announcement on Monday only happened after last-minute wrangling between Cabinet ministers.
There was no extra money in the plan for Mr Javid’s department but he told BBC Breakfast his existing funding settlement would cover the costs of ongoing testing and surveillance schemes.
“Although we couldn’t have known exactly where we would end up at this point of the year, we had anticipated requiring funding for such action,” he said.
Asked if he had disagreed with the Prime Minister about how this should be paid for, he said: “If you are asking me did we debate in Government what should be our final response in our Living with Covid document, of course we did because that’s normal in government, that’s what you do.
“Did we come to an agreement on the best way forward – myself, the Prime Minister and others, the entire Cabinet? Of course we did.
“That’s why I think what we set out yesterday is a historic moment that we can all be proud of.”
Mr Javid said people needed to remain “cautious and vigilant” despite the announcements on lifting England’s remaining coronavirus restrictions.
He told Sky News: “Covid is still out there. We may be done with Covid, but it is certainly not done with us and we have to remain cautious and vigilant.
“That is why we set out yesterday just how we will continue to do that, so vaccines remain an important part of our defences. The antivirals and other treatments that we have also will play a continued important role.
“But also we’ve put in place a surveillance system so that we’re able to detect any potential future threats, and also the ability for us to react quickly.”
