According to promoter Eddie Hearn, the heavyweight clash between Oleksandr Usyk and Derek Chisora could be moved aboard.
Usyk, who unified the entire cruiserweight division and moved up to heavyweight last October, was set to face Chisora this month in the UK - but their bout was pushed back due to the cornavirus pandemic.
A new date and location has yet to be set down.
The British Boxing Board of Control is looking at the month of July for boxing return in the UK, with no fans in attendance.
Once that happens, Hearn is planning to run a series of shows in the country - but Usyk vs. Chisora is not one of them.
Usyk vs. Chisora may not even take place in the UK at all, says Hearn.
"It will wait in the short term. It is not in the initial four-week period. I spoke to Alexander Krassyuk of K2 Promotions [Usyk's representatives] and we are looking at alternative options for that venue," Hearn told Sky Sports.
"In time you will see crowds return but at what level? One thousand? Ten-thousand? Eighty-thousand?
"There are options to stage things with a slightly smaller crowd but in a unique environment that we're looking at [in the UK]. That's outside of our initial return. There are a number of countries right now saying: 'We want to bring major sport back and show the world that we're open to business'. That might apply to a fight like Usyk vs Chisora."
Other events being handled by Hearn's company, Matchroom, could head elsewhere as well. There is a possibility that Anthony Joshua's defense of the IBF, IBO, WBA, WBO titles - against mandatory challenger Kubrat Pulev - will take place outside of the UK.