The Biden administration will lift restrictions on fully vaccinated international travelers in November.

Mr. Zients cited the pace of vaccinations administered globally as a reason for the administration’s pivot. The decision also comes on the eve of a visit by Prime Minister Boris Johnson, who was expected to press Mr. Biden to lift the ban. British officials had hoped the president would announce a relaxation of restrictions when he came to Cornwall, England, in June for the Group of 7 summit meeting and were disappointed when he did not. Their frustration has only deepened since then.

The easing of the travel restrictions also comes as the administration has sought to reduce tensions with another ally in France after the United States kept Paris in the dark as they secretly negotiated an agreement with Australia to build nuclear submarines.

British officials note that the United States had not imposed a similar ban on people from Caribbean nations, which had a higher rate of infection than Britain, or from Argentina, which had lower percentage of its population vaccinated. About 82 percent of people in Britain above the age of 16 have had two shots.

Britain and several European Union countries allow fully vaccinated people from the United States to travel without quarantining, and officials there were annoyed when the United States did not reciprocate.

The ban, European officials point out, has kept families separated since early 2020, as the coronavirus was erupting across Europe. European countries have weathered a third wave of infections propelled by the Delta variant. But in several countries, including Britain, infection rates have begun to level off and even decline.

“Finally our parents and our family can come see us,” said Luca Marsura, 37, a manager in New York from the Italian city of Treviso, who has been unable to see his parents for nearly two years.

This summer he traveled back to Italy, but in order to return to the United States he had to spend two weeks in the Caribbean island of Aruba. “You have no idea how happy we are,” he said, “it would have meant another year without going back to Italy.”

Stephen Castle contributed reporting from London.