Virginia Wade compared Emma Raducanu to some of the greats of the game after her "impossible" US Open triumph.
Raducanu emulated Wade by becoming the first British woman to win the singles title in New York for 53 years, and the first to claim a grand slam title since Wade's famous 1977 Wimbledon success.
That she did it as an 18-year-old qualifier ranked 150 and without dropping a set made it an achievement hard to comprehend.
"Steffi was brilliant at 18. She just came on the scene and you knew she was going to just keep going forward winning everything. And of course Serena.
"You get the same sort of feeling with Emma that she's just better than her contemporaries and better than probably a lot of her seniors and she's the exception who's going to go forward.
"We know that there's going to be a lot to contend with and especially in the next year. Wimbledon I think is much harder for an English person anyway. Expectation is going to be quite weighty.
"It's going to be a massive change for her. She had a little feel of that at Wimbledon suddenly being very much in the public eye and people knowing her but now she's on every single front page and she got a message from The Queen.
"She'll get offers of endorsements left, right and centre and she's just got to have some real guidance with discerning people around her to help her. But I think she's a cut above intellectually as well.
"She handles herself with tremendous poise and, as long as she keeps her feet on the ground and is selective with what she does. I always think the most important thing when you've done unbelievably well is to make sure you understand you go up one step and you have to consolidate that.
"When you have, then you go up another step. She's got the big prize very early so she has to keep setting goals that motivate her and keep enjoying playing."
A photo tweeted by the tournament showed Wade and Raducanu sharing an embrace backstage, and Wade said: "That was so cool.
"Kim Clijsters was up in the President's Box as well. I said, 'Let's go down and see if we can see her as she comes off the court'. The tournament director Stacey Allaster said, 'No, no you can't go down there'. We said, 'We're going down there'.
"After about 10 minutes she came off the court with all the (security) guards and I said, 'Emma, can we have a hug please?' She said, 'Of course', so we were all lining up for hugs. She would have hugged the whole stadium I think. It was lovely."
Raducanu is not yet old enough to drink champagne in the United States and she was planning to celebrate her success with some chocolate frozen yoghurt.
The letter from The Queen would have given the teenager some idea of the huge impact her success has had back home, with sporting stars and celebrities falling over themselves to congratulate her.
She told the BBC: "It meant everything to get a message from Her Majesty. She's such a great inspiration and role model for the whole country so, to have a note from her, I was extremely honoured and very, very grateful that she took notice of my tennis.
"I can't believe it. I'm maybe going to frame that letter or something."
Channel 4's late deal with Amazon Prime Video to show the match live on free-to-air TV paid off handsomely, meanwhile, with a peak of more than nine million viewers tuning in.