Mr Shapps said the Government would continue to take a “cautious” approach to reopening foreign travel.
However, he said the rollout of the coronavirus vaccination programme meant they could start to look at plans for easing restrictions on travel from amber list countries as well.
“Thanks to our successful vaccination programme, our intention is that later in the summer UK residents who are fully vaccinated will not have to isolate when travelling from amber list countries,” he tweeted.
“We’ll set out further details next month.”
The changes to the green list destinations will come into effect at 4am on June 4.