The new restriction is expected to take effect at the end of this month.
Industry body Airlines UK said the policy needed “a credible exit plan” and should be reviewed weekly.
People arriving in the UK would have to self-isolate at a private residence.
Government and aviation sources told BBC News that the quarantine would mean people might be expected to provide an address when they arrive at the border.
It is not clear how long the new travel restriction would be in place and whether non-UK residents would be allowed to stay in rented private accommodation.
Masks will be compulsory on public transport in Spain from Monday as the country moves to gradually relax its tough lockdown. Prime Minister Pedro Sanchez said the government would distribute 6m masks, mainly at transport locations, and give another 7m to local authorities. Adults in Spain were able to exercise outdoors on Saturday for the first time in seven weeks.
Sun loungers separated by plexiglass. Blood tests and sanitiser spray-downs before flights. These might sound extreme, but they are real measures some in the travel industry are looking at to keep holidaymakers feeling safe and comfortable in a post-lockdown world.
It’s too early to say when international travel might restart again – Argentina, for example, has extended flight bans until September and a UK minister has said he won’t be booking a summer holiday anytime soon.
But what will overseas trips look like when they’re able to be taken again?