The prime minister's spokesman said: "We will always want to find ways to minimise unnecessary waiting times."
The prime minister still faces a major battle in selling the agreement to Tory MPs and the Democratic Unionist Party.
Prime minister warns of “an influx of disease” as European Commission prepares to welcome vaccinated tourists.
In a joint statement, both sides say they are working on a “win-win situation” for vaccine supply on both sides of the English Channel.
Defence secretary says move would be "counterproductive".
Australia's finance minister said it was "unsurprising that some countries would tear up the rule book".
Coronavirus vaccine proves the great leveller in the EU-UK race to normality.
A bust-up between the European Union and the pharma giant has led to supply worries.
With just days left until current trading arrangements end on December 31, a trade deal could be in sight.
Prime minister's pessimistic tone in contrast to European Commission president hailing “substantial progress”.