Sky News has learnt that 777 Partners has told stakeholders, including the Premier League and prospective lenders, that it now expects its takeover of the Toffees to be finalised late next month.
It had been seeking to close the deal by the end of this week.
City sources said on Wednesday that 777 had also requested in recent days an extension to a repayment deadline for a loan of nearly £160m.
The money is owed to MSP Capital and the prominent Merseyside businessmen Andy Bell - founder of the investment platform AJ Bell - and George Downing, and is due to be repaid by next Monday.
It was unclear whether the lenders had responded formally yet to that request.