"It's been fascinating to watch. She had a totally different upbringing—I came up through Switzerland with the federation, she did it with her dad and her sister," Federer said.
"It's an amazing story unto itself—and then she became one of the greatest, if not the greatest tennis player of all time."
And after being asked to clarify whether he considered Williams the ultimate GOAT of tennis or just on the women's side, Federer confidently replied "overall".
"It's not fair to compare, actually," he said, "But we know [Serena] is all the way up there."
"I'm probably up there with somebody, somehow. Maybe there's a group, a best of five—and if you're in that group, you should be pleased and happy. Tennis is a funky sport when it comes to that stuff."