The length of time people with coronavirus symptoms will have to self-isolate for is expected to be increased to 10 days in England.
Currently, those who have a new continuous cough, high temperature or loss of taste or smell, have to seclude themselves for seven days.
But Health Secretary Matt Hancock is expected to announce on Thursday that the period is being extended.
It comes after the prime minister warned of a second wave of infection.
It is unclear if the devolved nations will follow the UK government's lead, but the current guidance was adopted UK-wide.
There have been concerns about several local outbreaks across the UK, including in Oldham, Wrexham and Staffordshire.
Under the current rules those who share a household with someone with symptoms of Covid-19 should self-isolate for 14 days.
Those returning to the UK from certain countries are also being asked to quarantine for 14 days - a move that has sparked complaints from travel firms.
According to the Daily Telegraph, ministers are also looking for a way to reduce the current 14-day quarantine period for arrivals to the UK, meaning that quarantine and self-isolation time periods could be standardised.
Luxembourg 'on list'
It comes as a the government held a meeting on Wednesday night to discuss which other countries would be added to the list of those not exempt from the quarantine rule, after a spike in cases saw Spain added over the weekend.
A senior government source told the BBC that Luxembourg was likely to be added this week but that - for the moment - the numbers in Belgium would continue to be monitored.
Earlier, leading travel and airline industry figures called for coronavirus testing at airports in the UK but the source said that "any new system had to be workable and at the moment it isn't".
The Department of Health said a further 83 people with coronavirus had died in the UK, taking the total number of deaths to 45,961.
It also reported another 763 confirmed cases, which takes the total to 301,455.
What are the current rules on self-isolating?
Self-isolating means staying at home and not leaving it.
People who have symptoms of coronavirus should isolate themselves for seven days and arrange to get tested. Symptoms include:
a new continuous cough
a high temperature
a loss of, or change in, your normal sense of taste or smell
Other members of their household should isolate for 14 days and not leave their homes.
If you test positive you will be contacted by contact tracers, who will establish who else you might have passed on the infection to.
Anybody they deem to be at risk will have to isolate themselves for 14 days from the point of contact.