Sajid Javid has urged his Tory colleagues to wear masks in the crowded Commons chamber, saying public figures should “set an example” as Covid cases surge.
It was suggested that this could leave members of the government open to allegations they were not practicing what they preach.
Mr Javid responded: "I think that's a very fair point," adding that ministers and health leaders "have all got our role to play in this".
"We also have a role to play to set an example as private individuals as well, I think that's a very fair point and I'm sure a lot of people will have heard you," he added.
In recent weeks very few Tory MPs have been pictured in the Commons wearing masks, while a much greater number of opposition members do so.
Earlier on Wednesday, unmasked Cabinet ministers surrounded Boris Johnson in the Commons for Prime Minister's Questions.
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"And it would of course make it more likely we're going to have more restrictions. Now we want to avoid those," he added.
The legal requirement for people to wear a face covering in most indoor settings such as public transport, shops and hospitality ended on 19 July.
Numerous studies have shown that wearing face coverings over the nose and mouth can help in reducing the spread of viral droplets when a person coughs or sneezes.
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