The British Virgin Islands, a British overseas territory, opened to tourists on December 1 and requires travellers to test upon arrival and quarantine for four days in their hotel or villa.
Since the start of the pandemic, it has had just 216 cases and one death.
Many Caribbean islands require tourists to be tested before or on arrival and most are running "bubble" policies where travellers are required to stay at their designated hotel or villa.
This is in addition to the remote territories of the Falklands, South Georgia and the South Sandwich Islands, Saint Helena, Ascension Island and Tristan da Cunha.
Despite being on the green list, people will not be able to go on holiday to Australia, New Zealand or Singapore as they are closed to UK tourists.
The new "green list" is expected to be decided in the week running up to June 7, when the second phase of destinations will be opened to holidaymakers.
The third set of additions to the "green list" are predicted to coincide with the June 28 review of the Government’s foreign travel policy.
Once the foreign travel ban is lifted on May 17, Downing Street said those going abroad could open the app upon arrival to prove they have had two doses.
Those without smartphones were told to call 119 to order a letter confirming their vaccination status.