Osaka taught the teen a lesson in a 6-3, 6-0 demolition inside Arthur Ashe Stadium on Saturday night.
The emotional clash was followed by tearful on-court interviews, Osaka asking a reluctant Gauff to join her with the microphone as they met at the net.
But it wasn't enough for Osaka.
And remaining humble, Osaka laughed when it was suggested she was a "mentor" before hugging Gauff as the American left the court. "She's been so sweet to me". It's just insane who you run into in life. They won't know unless you tell them now.
Addressing Gauff, she said: "I'm so sorry for playing you (with) this type of mentality". Gauff, holding back tears but determined not to cry in public, said no. "I make sure she in the house early and sleep on time", he said. As she later explained, she didn't want anyone to think she was stealing Osaka's glory. "She's still (striving) for more".
Courtside microphones overheard Gauff telling Osaka she was going to cry, with the world number one responding: "I think it's better than going into the showers and crying".
"It was unbelievable. She did wonderful and I am going to learn a lot from this match". "Any time that someone has one good result or two good results, they're 'The Next.' You know what I mean?"
"I think it's super exciting tennis", she told Forbes. Much the same way, Osaka and Gauff are now.
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Highs by Thursday and into next weekend will be into the mid to upper 70s and lows could even dip down into the lower 50s. It turns humid on Wednesday with a front passing through that ramps up chances for showers and storms.
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So what can we expect come winter? The biggest drop will happen in areas across the northern Plains to the Great Lakes. The National Oceanic and Atmospheric Administration's official winter seasonal outlook will be released in October.
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Police said Witheridge, 23, had been raped and bludgeoned to death and Miller, 24, had suffered blows to his head. The highest court ruled that all the evidence, including DNA samples and witness statements, proved their guilt.
'I think Coco you're awesome, ' said Osaka, who also became emotional. "It's great to see her fighting spirit, her intensity", Djokovic said. But in that moment, she looked very much the seasoned veteran.
She overcame a slow start to get within 4-3 in the opening set but also then lost the last eight games. Osaka showed no emotion. That style got her past Halep, the No. 4 seed, and never let Cirstea come back in a match that lasted less than 90 minutes.
Cilic earned the crucial break in the fourth set to get the advantage.
She served at up to 191 km/h but also double-faulted seven times.
"Yeah, I feel like if we do ever happen to play in the finals of a Grand Slam, that's definitely going to be a very huge memory for both of us". "They want to have that statement tournament, or whatever", said Osaka, who hit 24 winners and committed 17 unforced errors. I think you guys are awesome.
"I was just happy throughout this entire match", she continued. It's a tantalizing narrative: The teenage wunderkind takes on the slightly-older wunderkind who herself played giant slayer just a year ago on the same court where they likely will play. She already learned Osaka was right in urging her to stay on the court. "I'm still a little bit sad because it's still fairly new", said Gauff, who is scheduled to team with Caty McNally in a doubles match on Sunday. "It's not even a skill sort of thing, it's just I trust myself more".
For their parts, each of these women, albeit in different ways, understand the pressure and what it's like to be dubbed as the "next" or quite literally the heir apparent to the greatest player of all time, Serena Williams.
Osaka goes on to face Swiss 13th seed Belinda Bencic for a place in the quarter-finals, and the top seed believes she is growing stronger the deeper she progresses at Flushing Meadows. Finally I said, Okay, I'll do it. She's accustomed to that.