Staging Wimbledon next year is the "number one priority" for the All England Club and holding the tournament without fans is a consideration.
The Grand Slam was cancelled this year for the first time since World War Two because of the coronavirus pandemic.
The All England Club said it is already planning three scenarios for 2021: playing with full capacity, reduced capacity or behind closed doors.
The championships will be held from 28 June to 11 July next year.
The All England Club's pandemic insurance policy shielded it from losses of up to a quarter of a billion pounds after this year's tournament was cancelled - but the cover will not be available next year.