Children may not return to school until after the Easter break and may have many months of home teaching.
The Sunday Times said the education secretary should rule out returning to the classroom after the February halftime break.
Gavin Williamson is not expected to set an exact date for the schools to reopen, but education leaders said they did not expect them to fully reopen by mid-April or May.
A government source told the Times, “We’re in for the long run. We will start giving more information to parents so that they can start managing their expectations.
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“While we haven’t gotten to an exact time that we think schools will return, it won’t be after half-time.”
However, some school principals have devised a plan to have all teaching staff in the country vaccinated against coronavirus so students can be back to school in weeks.
Meanwhile, Health Secretary Matt Hancock has warned the government that lifting restrictions on coronavirus lockdowns in England is a “long, long, long road”.
Mr Hancock said there was evidence that existing restrictions were having an impact as the vaccination program made “brilliant strides”.
However, Mr Hancock said the case numbers were “incredibly high” and the NHS remained under severe pressure.
The number of Covid-related deaths at Hull Royal Infirmary and Castle Hill has risen to 634.
The government said an additional 1,348 people died within 28 days of testing positive for Covid-19 on Saturday, bringing the UK total to 97,329.
The government also said there had been an additional 33,552 laboratory-confirmed cases of coronavirus in the UK as of 9:00 a.m. on Saturday.
The total number of cases in the UK is 3,617,459.