The Brit underwent surgery in Melbourne by Dr. John O'Donnell at the St Vincent Hospital.
He added: "So if I can get myself to 95% of my best, I believe that's enough to compete at the highest level".
Andy Murray hopes to return to tennis in time for the grass-court season and Wimbledon, after undergoing hip surgey in Melbourne.
"But for now I think his goal will be to try and get himself fit and let's hope we can see him back playing some great tennis in the not too distant future".
"I'm very optimistic because, having spoken to the surgeon after he did the surgery, he was very happy about how it went", world No 19 Murray said, quoted by several national newspapers.
The 30-year-old former world number one, who has not competitively played since Wimbledon last summer and last week withdrew from this month's Australian Open, announced via his official Facebook page that he had gone under the knife in Melbourne, and vowed to return to the top.
A return in time for the grass-court season, which includes Queen's - a tournament he has won five times, would enable him to target a third Wimbledon title but would come after nearly a year's absence on the tennis scene.
Murray admitted that if he does return, he will look to take on a reduced schedule, more focused on the Grand Slam events than working on his world ranking.
"I want to know when I come back that I'm ready", he said.
Murray also said he underwent some minor surgery on his groin on December 18. I want to come back when I'm fit and ready to play, not to get into a situation like in Brisbane or New York (US Open, 2017), where I'm unsure when I turn up at a tournament how fit I am.
He has not played a competitive match since Wimbledon last July. "I'll certainly be more considered in the amount of tournaments I play, even though I play a conservative schedule anyway in comparison to most of the players on the tour". I'm feeling really positive and looking forward to starting rehab. "The surgery allows me to extend my hip well, and I'll be able to sprint".
There had been growing concerns that the hip injury could be serious enough to force Murray into retirement, but the two-time Wimbledon champion is determined to return to court in order for his daughter, Sophia, to watch him so she can have a "a small understanding of what it is I've done for my living". "I'll come back from this".