And Mouratoglou dropped a huge hint that the pair could form a formidable duo, with the 23-time Grand Slam champion's trainer insisting that she loves playing doubles tennis and that she "likes" Andy Murray.
The 32-year-old acknowledges his presence will act to raise the profile of the doubles competitions and suggested more could be done by tennis' authorities to encourage regular participation from leading singles players. "It would be a pretty solid partner". "I'm feeling better now, so I'm definitely available". "I think a lot of that stuff kind of comes out from other people", said Murray, who was Britain's first men's singles title victor at Wimbledon in 77 years. "But I'm not going to walk around with that to say that I have got a metal hip and show that's why I am setting the detector off".
"When I spoke to my team then, I was like, "I need to stop because I can't keep doing this".
"I think when the top singles players are involved in the doubles, it does draw a little bit more attention to it".
Murray returned from a five-month injury lay-off last week to win the men's doubles title at Queen's Club with Feliciano Lopez and is entered with Pierre-Hugues Herbert at Wimbledon.
Murray, though, is more focussed on coming through Wimbledon first - an arena where he won two of his three Grand Slam singles titles and the first of his two Olympic singles crowns.
Having previously been undecided about the idea of risking his body in the event that the mixed and men's events created a logjam of matches, the warm weather which is forecast in South West London this weekend had helped make up Murray's mind.
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Whilst it didn't go unnoticed that Murray's serve was often broken, his shot selection was nearly as good as it was when he was world number one and it looked clear that his innate ability to know how to play each point never left him even during a hard couple of years. Nadal said it wasn't fair, and he blamed the ATP for not putting pressure on the All England Club to switch the way it determines seeds. He is not playing singles. I understand that. I appreciate that.
Williams admitted she could not remember much about her partnership with Mirnyi in 1998, although one thing stuck out.
The comments follow Murray hinting earlier in the week that he would like to team up with Serena or her sister Venus, at the tournament.
Four members of the ATP Player Council resigned Saturday, a day after a 7-hour meeting to decide the new Americas' representative on the board.
Herbert plays South African Kevin Anderson in the first round today and if he wins, it will have an impact on when the doubles match takes place.