Johnson's office said late Saturday that the government plans to return to a three-tiered system of restrictions, with areas facing different measures depending on the severity of their outbreaks.
The statement quoted a spokesperson for 10 Downing Street as saying that current England-wide restrictions have "helped bring the virus back under control" and "eased pressures on the NHS (National Health Service)".
Johnson announced the lockdown in England on October 31 after public health officials warned that an exponential rise in new daily coronavirus infections was threatening to overwhelm the National Health Service as the winter flu season approached.
But these tier one, tier two, and tier three rules, will be slightly different than the ones in place before this period of lockdown began.
Mr Johnson will detail his "winter Covid plan" to MPs on Monday, setting out the restrictions to replace the national lockdown on December 2 and how people can spend the festive period.
Britain's Finance Minister Rishi Sunak on Sunday ruled out the possibility of a "normal" Christmas as the government prepares for tighter restrictions amid worsening coronavirus crisis.
In one move likely to be welcomed by Conservative rebels, Mr Sunak confirmed to The Andrew Marr Show on the BBC that plans to change the curfew period for pubs and restaurants is "definitely something we're looking at".
And nearly all shops could reopen, but bookies and pubs that do not serve food might remain closed in places with the highest infection rates.
The Prime Minister is expected to announce the government's "winter Covid plan" today, but on Saturday, the CRG said that it "cannot support" further measures unless ministers prove that they "will save more lives than they cost".
"We can not support this approach further unless the government demonstrates the restrictions proposed for after 2 December will have an impact on slowing the transmission of COVID, and will save more lives than they cost", they wrote.
But the opposition party has been urging the government to lay out its plan for what will happen when the national restrictions end.
Asked about the idea of a cost-benefit analysis, Mr Sunak said this was unlikely.
Discussions are being held between the United Kingdom and Ireland around arrangements for the Christmas period under coronavirus restrictions.
The findings of independent forecasters the Office for Budget Responsibility - as well as the 750,000 job losses from coronavirus - would have to be taken "in the round as we consider the best way to fight the virus", he said.
Government spending would continue to increase on last year's day-to-day public spending, he said. It was fair to "think about what is happening with wages, with jobs, with hours, across the economy when we think about what the right thing to do in the public sector is", he said.
But the Mr Johnson will be wary of a rebellion from backbench Tory MPs who are opposed to new restrictions.
It was originally slated to run until December 2.
The UK as a whole remains among the worst coronavirus-hit nations in Europe with almost 1.5 million confirmed cases, falling behind only France and Spain in terms of the total Covid-19 tally.