Scientists are reportedly calling for the "one metre plus" rule to be upped to effectively three metres.
It would mean Brits have to keep nearly 10 feet apart when out and about.
Leading members on Sage are said to be pressuring Boris Johnson to rethink his social distancing measures, The Daily Mail reported.
The drastic proposal would go some way to reducing infections, experts reckon, as Covid continues to hammer its way across the UK.
A spokesman for Downing Street told the Mail: "There are no current plans to change social distancing rules.
"However, everything is kept under review."
It comes after Matt Hancock slammed Brits who flout the rules that are in place.
Pressure appears to be growing on Downing Street to impose and even harsher lockdown, with Labour calling for tougher measures yesterday.
At a press briefing on Monday afternoon, Mr Hancock said he would "not rule out further action if needed".
Several members of Sage have reportedly called for the lockdown to be beefed up, as vaccines get rolled out.
At one meeting, it is reported that the idea of a Chinese-style lockdown was floated.
That would see a ban on residents leaving their homes.
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A source told the Mail that ministers are fuming that some Brits had been "exercising" by meeting a mate for a coffee and a walk.
Speaking of potentially tougher measures, an insider told the Mail: "We cannot let a few selfish idiots put the whole country in danger."
Upping social distancing is seen as an easy win, although it risks creating confusion and a logistical nightmare for businesses who are already Covid-19 compliant.
As vaccines are starting to be approved and given to the most vulnerable, Boris Johnson yesterday warned Brits that the virus is still a very real danger.
He said: "This is a very perilous moment because everybody can sense that the vaccine is coming in and they can see that the UK is vaccinating large numbers of those that need it most.
"My worry is, that this is the moment when that degree of false confidence, false complacency, and that when you look at what has happened in the NHS that complacency is not merited.
"More important than us just pushing out new rules, people have got to follow the guidance."
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