Michael Gove warns MPs strict rules are still needed in England despite lockdown ending on 2 December.
Nadhim Zahawi will oversee distributing the vaccine in England until at least summer 2021.
The PM hits back at criticism from Tory MPs that post-lockdown restrictions are not properly targeted.
The EU's Michel Barnier arrived in London on Friday evening, as the two sides try to agree a deal.
Officials must understand limits of computer models and risks of bias, government advisory body says.