The possibility of an air bridge between London and New York is being discussed "at a very senior level", according to reports.
Ministers are looking at plans for regional air bridges which would allow travellers to come to the UK from "low-risk" areas such as New York within countries like the United States, the Telegraph reports.
The US is "red listed" due to its overall high coronavirus rates, meaning people arriving in the UK from the country must quarantine for 14 days upon arrival, but New York has brought its seven-day infection rate down to just 7.2 cases per 100,000.
A source told the Telegraph: "There are discussions going on at a very senior level around opening up London and New York.
"They are at a very early stage but it is vital to get business going with a major trading partner especially as we near Brexit."
A Department for Transport spokesman told the newspaper that "conversations between governments in other countries on a whole range of issues take place regularly".
"Public health remains the UK’s top priority and we are committed to tackling this virus while enabling a sustainable and responsible return to international travel," he said.
"We keep the data for all countries and territories under constant review and will not add a country to our travel corridor list unless safe to do so."
Meanwhile, thousands more holidaymakers returning to the UK from the Czech Republic could have to self-isolate as new figures show coronavirus cases are rising in the country.
A seven-day rate of 20 Covid-19 cases per 100,000 people is the threshold above which the UK Government considers triggering quarantine conditions.
The Czech Republic is currently recording a seven-day rate of 19.4 cases per 100,000, up from 16 a week ago.
The capital Prague is a popular city break destination for UK travellers, and is a common location for stag parties.
Switzerland is also over the threshold, with a seven-day rate of 21.2.
Last week, Scotland took Switzerland off its list of countries from which people do not need to self-isolate on arrival. The rest of the UK could follow later this week.
Paul Charles, chief executive of travel consultancy The PC Agency, said Switzerland is "sadly likely to be added" to the list of countries from which people must self-isolate for 14 days.
"It’s been above the Government’s own criteria for several days now," he said.
"The Czech Republic and Jamaica are both going to be closely watched and potentially added.
"At bank holiday time lots more Britons travel and Prague is a popular weekend break destination so if they’re added to the list it will affect several thousand people."
Two countries that seem likely to remain on the list for the time being are Greece and Italy.
While the rate has ticked upwards in both countries, neither of them are near the threshold.