The update came from Downing Street two hours after Rishi Sunak said the prime minister was "sitting up in bed".
Foreign secretary wishes PM a speedy recovery and insists cabinet is governing by collective responsibility.
Downing Street says PM remains "under observation" at London's St Thomas's Hospital but had cabinet papers delivered to his bedside this morning.
This follows calls for Dr Catherine Calderwood to step down after evidence of trips to her second home emerged.
Health secretary softens message after earlier saying outdoor exercise could be forbidden if people keep flouting the rules.
Health secretary says minority flouting rules could see restrictions tightened. Labour leader Keir Starmer would back move.
Matt Hancock says regulations "backed up by law" mean Brits can only go outside for food, medical supplies, exercise or work.
Charity tells HuffPost UK "nobody should feel pressured into refusing treatment" as coronavirus causes unprecedented demand for care.
The leader of one council said No.10 was risking "tragedy" by failing to share information on people's needs with local authorities on the ground.
"The first thing that Premier League footballers can do is make a contribution, take a pay cut and play their part," health secretary Matt Hancock said.
Cabinet minister said "first of thousands" will roll off the production line this weekend as he admitted the UK must go "further and faster" in testing for coronavirus.