Murray broke down in tears at the Australian Open in January, saying in his pre-tournament news conference that he planned to retire after this year’s Wimbledon because of pain in his hip.
However, he said the first Grand Slam of 2019 could prove to be the last tournament of his career.
After a gutsy first-round five-set defeat by Spain’s Roberto Bautista Agut, Murray appeared to soften his stance by telling the Melbourne crowd he hoped to see them again next year.
In his post-match news conference, he said he was considering the resurfacing operation primarily to improve his quality of life.
Murray had the hip resurfacing operation – which keeps more of the damaged bone than a hip replacement, smoothing the ball down and covering it with a metal cap – in London on 28 January.
American doubles player Bob Bryan had the same surgery last year and returned to action, alongside twin brother Mike, five months later. No tennis player has competed in singles after having the operation.
‘Still a chance of Wimbledon?’ – analysis
BBC Scotland tennis reporter Kheredine Idessane
There’s no disguising the sense of quiet optimism emanating from the Murray camp at the moment.
The social media “thumbs up” from Andy Murray himself to his hip replacement; pictures of him enjoying a round of golf; his mum Judy now saying there’s every chance he could be back on tour at some point this summer. Admittedly, that gives him plenty of wriggle room, as the summer tennis season drags well past September’s US Open.
He won’t be at the French at the end of May but is there a chance he could feature at some point on the grass in June? Queen’s Club and Wimbledon would be the obvious targets, even if only on the doubles court.
However, if a pain-free, rested, rejuvenated Murray starts serious on-court weight-bearing work at some point next month, there is a possibility he will play singles at the All England Club in July.
He only gave himself a 50% chance of that a few weeks ago but it’s certainly no less than that now. Quite a turnaround when you think that, in January, he was tearfully contemplating retirement.
Justin Gimelstob’s future will be decided by the ATP after the leading tennis administrator was sentenced for assault in Los Angeles on Monday.
Gimelstob, a retired two-time mixed doubles Grand Slam winner, was handed three years probation and 60 days community service after pleading “no contest” to a battery charge.
The American is one of three player representatives on the ATP board.
Gimelstob, 42, has also worked as a coach and TV commentator.
An ATP statement read: “The decision was taken to let the judicial process run its course before any judgement was made on his future, so with that process complete this is now a subject for review by the board and/or the player council.
“As a related matter, the election for the role of the next Americas player representative on the ATP board – the position currently held by Gimelstob – will take place as scheduled on Tuesday, 14 May, in Rome.”
The players’ council, led by Novak Djokovic, has the power to remove him, but would need the consent of at least six of its 10 members.
Former friend Randall Kaplan alleged that early in the evening of 31 October, Gimelstob “punched him in the head and face more than 50 times” in front of Kaplan’s pregnant wife Madison and two-year-old daughter.
Madison went on to have a miscarriage, which the couple believe was a result of the stress of the attack.
Gimelstob, who was also compelled to attend anger management classes by the court, partnered Venus Williams to win the Australian and French Opens in 1998 and twice reached the men’s doubles quarter-finals at Wimbledon.
Interest from host nations was sought in March. Budapest is said to be among the cities to have put its name forward, but financing the event is another matter.
The ITF is understood to have pledged prize money in excess of $10m (£7.7m), and that money is supposed to be generated by the host city.
There is also a fair amount of opposition to the concept. WTA tournaments staged in the weeks either side of the proposed Finals will expect to see traditionally strong fields depleted.
And there are players – and many fans – who resent the potential reduction in the number of home ties which generate the special atmosphere evident this weekend.
Keothavong, who says she has not yet been asked her views by the ITF, admits to being in two minds about whether the reforms are in the best interests of the sport.
“I’m not sure,” Britain’s captain says. “We’ve waited so long for a home tie and now we’ve got it.
“The support we had was something we might not experience again, so it’s hard to know. I don’t know what the right format is for this competition.”
If the planned reform flounders, the ITF is likely to create one 16-team World Group for 2020, played on a knockout basis with the final four competing for the title in November.
Either way, Britain will have its work cut out to make progress.
Potential opponents include Japan (featuring world number one Naomi Osaka); Romania (featuring world number two Simona Halep); the Czech Republic (with two top five players in their ranks); and the United States (who have three top 20 players to choose from).
Britain does not currently have any singles’ players in the world’s top 40, and yet in Johanna Konta and Katie Boulter do have two players you underestimate at your peril.
Konta appears, at times, to be overwhelmed by nerves. Her game goes off the boil, and yet she invariably recovers, and should be mightily proud to have won 11 singles matches in a row.
At 3-5 down in the deciding set against Yulia Putintseva on Sunday, she won 16 of the last 18 points of the match. She was simply brilliant, and is developing a steely Fed Cup persona.
Boulter is much earlier in her Fed Cup career, but four singles wins in four days in February’s qualifying round in Bath were followed here by a very near miss against Putintseva (a match she should have won), and then a courageous comeback against Zarina Diyas.
With a hot water bottle tucked down the back of her skirt to soothe a bad back at change of ends, she clinched the tie by running away with the final set. Some shrink, where Boulter seems to thrive.
The pair will undoubtedly need the support of others if Britain are to become a force at World Group level.
Heather Watson has had a shocking time in singles of late, but is a Grand Slam doubles champion. If she can forge a potent partnership with Harriet Dart, a natural doubles player with singles aspirations of her own, Britain will add another line of defence.
Katie Swan only turned 20 last month and is now a top 200 player with four Fed Cup wins to her name.
And looking a little further ahead, there is 16-year-old Emma Raducanu, who Keothavong hopes “will be knocking on the door soon”.
The team spirit seems genuine, and so optimism should not be frowned upon – especially as, for the first time for more than a quarter of the century, the team will not have to endure the annual tribulations of Europe-Africa zone qualifying.
It will be a shame if Britain is not able to host home ties on a regular basis – the LTA proved again at the Copper Box that they know how to put on a really good show – but at least the stakes will be higher in future.
That, in turn, means the profile will be higher. And that is outstanding news for women’s tennis in the UK.