"He almost took one for the team and we've got to make sure we play properly now," Stanley Johnson told the BBC.
Downing Street said the PM waved his thanks to staff at St Thomas' Hospital in London as he was moved on Thursday.
Meanwhile, scientific adviser Prof Neil Ferguson, who was asked about coming out of lockdown, said it would likely "be targeted by age, by geography".
A spokesman for No 10 said the prime minister was back on a ward and "in very good spirits", emphasising that Mr Johnson was at an "early stage" of his recovery from coronavirus.
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