Jamie Murray fears there will be no time to re-schedule Wimbledon this summer if The Championships are postponed.
An emergency meeting of the All England Club main board will be held next week to discuss delaying or cancelling the event due to start on June 29.
Wimbledon have ruled out staging the grass-court Grand Slam behind closed doors while the US Open is scheduled to start on August 24.
Two-time mixed doubles champion Murray said: "I don't know how long they could push it back,
"They're desperate to have their event on, it's still over three months away and a lot can change in that time.
"For them, optics don't necessarily look great, I guess, if there's sporting events all over the world getting cancelled and they're trying to crack on with things.
"There's a lot of other stakeholders, a lot of other tournaments to consider.
"Even things like daylight for the tournament. Once the tournament gets put back, there's less and less daylight. When you play at Wimbledon normally, you can play until 10 at night."
"No-one really knows when we're going to get back out on court and able to compete, whether that's behind closed doors, which I don't think anyone really wants."
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Wimbledon remains one of the only major events in the coming months still standing, after football's Euro 2020 tournament was put back to next year, along with the Olympic Games - which does not start until August.
The French Open - due to take place from the end of May - has already been pushed back until September, while all tennis has been suspended until at least April 20.