The All England Club says a decision regarding this year's Wimbledon will be made next week.
In a statement on Wednesday, the club said postponement and cancellation of the event, scheduled between 29 June-12 July, because of the impact of coronavirus were possible outcomes.
Playing behind closed doors has been formally ruled out.
Earlier this month, the French Open due, to have begun in May, was rescheduled to 20 September-4 October.
The club's sites at the All England Club, Wimbledon Park Golf Club and Raynes Park are currently closed with physical operations reduced to a minimum to maintain the grass courts and the security of the sites.