Scotland will reportedly enter another effective national lockdown, likely to last until the northern spring.
Leader Nicola Sturgeon says her cabinet will meet on Monday to discuss possible further steps to limit the spread of coronavirus and has ordered Scotland's parliament to be recalled.
It is expected the reopening of schools will be pushed back beyond January 18, The Times the newspaper reported on Sunday.
British Prime Minister Boris Johnson said on Sunday tougher lockdown restrictions were probably on the way as COVID-19 cases keep rising.
Johnson sets policy for England, with rules in Scotland, Northern Ireland and Wales set by their devolved authorities.
COVID-19 cases in Britain are at record levels and the increase in numbers is fuelled by a new and more transmissible variant of the virus.
Britain recorded 54,990 new cases of the virus on Sunday and has registered more than 75,000 deaths from the pandemic.