At Wimbledon's annual pre-event press conference, Sally Bolton, the AELTC's chief executive, said the club would be guided by Murray on whether and how they would mark his career.
"We have certainly got plans in place and we're ready and prepared," said Bolton. "But ultimately, it's Andy's decision and we'll very much be led by him and we can amend our plans accordingly."
It remains to be seen if Murray, who said this year that he was unlikely to continue playing after this summer, will decide to actually retire at Wimbledon.
He hopes to compete at the Olympic Games, but his presence in Paris will probably depend on whether he can compete in doubles. The Olympic team will be named at the end of this week but the doubles entrants will not be confirmed until July.
Should Wimbledon be Murray's final tournament, Bolton said the AELTC would require no notice.
"We're ready, we've got plans," she said. "They're very adaptable. We're clear about what we want to do. But it's really important that this is Andy's call and so we'll be very much led by him in the decision he makes."
Wimbledon will offer a prize pot of £50m for this year's tournament - an increase of £5.3m over last year.
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