European Council President Donald Tusk is likely to offer Britain a flexible extension of the date of the country's exit from the EU.
A senior EU official said Tusk was considering an extension offer of up to one year, with the possibility of leaving sooner.
The option could be presented to British Prime Minister Theresa May at the EU summit on Brexit on April 10th in Brussels and if accepted, Britain would have to hold elections to the European parliament in May, the official said.
"The only reasonable way out would be a long but flexible extension. I would call it a 'flextension'," the official said.
"We could give the UK a year-long extension, automatically terminated once the Withdrawal Agreement has been accepted and ratified by the House of Commons," the official said.
"And even if this were not possible, then the UK would still have enough time to rethink its Brexit strategy," he said.
Britain's exit from the EU, nearly three years since the country voted to leave the bloc, is now in doubt because the British parliament cannot decide what exit terms it wants, just a week before the current Brexit date of April 12.
May offered to quit to get her deal passed but it was defeated for a third time last Friday, the day Britain was originally due to leave the EU.
She is now in talks with opposition Labour Party leader Jeremy Corbyn to find a way out of the deadlock, but it is not clear if they can find a solution in the next few days.
A request for an extension, if May makes one, would have to be backed by sound arguments why the EU should grant it, officials said. Britain's BBC reported that May would make such a request on Friday.
