Despite an astonishing verbal confrontation between Williams and umpire Carlos Ramos during the final that saw the 23-times Grand Slam singles winner docked a game, Osaka held herself together to become Japan's first female major champion.
During an appearance on The Ellen DeGeneres Show, 20-year-old Osaka said Williams had moved to reassure her that the crowd at Flushing Meadows were not booing her after the 6-2 6-4 victory.
US Open
Mouratoglou calls for on-court coaching following Williams situation
18/10/2018 AT 13:03
"She said that she was proud of me and that I should know that the crowd wasn’t booing at me," said Osaka. "So, I was really happy that she said that."
"At the time, I did kind of think that they were booing at me because I couldn't tell what was going on because it was just so loud in there so it was a little bit stressful."
It has been reported that Osaka is poised to sign one of the biggest sportswear deals in history with Adidas.
US Open
Naomi Osaka: US Open win ‘not the happiest memory’
01/10/2018 AT 15:29
US Open
Roger Federer calls for changes after Serena fine
20/09/2018 AT 07:25