"Nobody has had this operation and gone back to play high-level singles before so I can't say for certain I will be able to do it", he said. "Whether I want to do that, I'm not sure".
"I'm really happy to have it done and now I just have to wait and see how good my hip will get". Five weeks have passed since he had hip resurfacing surgery and Murray is delighted by the difference it has made, not least because it allows him to play with his two young children without pain. If it's possible, I'd certainly love to compete again'.
In an interview with the BBC, the Scot said: "To play singles at Wimbledon I'd say it would be less than 50 per cent chance, doubles maybe possibly".
He had a first operation in January 2018 and returned to action at Queen's Club last summer but played only six tournaments last season and was in pain throughout.
He is hoping to begin hitting balls on court from a stationary position in four weeks' time and expects to know at the end of May - when he can attempt high-impact exercise - whether his intention to return to professional tennis will be possible.
"I want to continue playing, I said that in Australia", Murray said at a sponsorship event at London's Queen's Club.
Murray also said he would give himself "seven or eight months" before taking a call on whether he would continue playing competitively.
"Bob Bryan had the same operation and was competing after five and a half months". "It brings me happiness and I enjoy it a lot".
"He certainly feels like there are things he could have done better at the beginning of the rehab. But I'd say that would be a fair amount of time before I'd be able to say definitively this isn't good enough or this actually feels great". "Because I know that it's not the case, and that nobody in their right mind could promise me that".
Murray, who has two daughters, says "having the surgery was to improve all the day-to-day things and my quality of life".
Asked whether proving people wrong was a driving force, Murray replied: "I think throughout large parts of my career that's something that motivated me a lot, but that really hasn't in this". I don't feel like I have to get back to playing Wimbledon or playing tennis again.