Naomi Osaka, with new coach, rolls into third round at US Open

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Naomi Osaka wins in straight sets at US Open (1:32)

Naomi Osaka advances to the third round of the US Open after a straight sets victory over Hailey Baptiste. (1:32)

NEW YORK -- Naomi Osaka is back in the third round of the US Open for the first time since 2021, the year after she won her second championship at Flushing Meadows.

She's playing rather well at the moment, too, under the guidance of a new coach. Just don't expect Osaka to weigh in on whether she feels as if she is ready to make another deep run at the place.

"Honestly, I don't really know. I don't make it my business to know anymore. I kind of just leave it up in the air," the 23rd-seeded Osaka said after eliminating Hailey Baptiste 6-3, 6-1 in the second round in just 70 minutes Thursday. "For me, I realize that I've done everything that I could. I've trained really hard. I practiced really hard. If it happens, it happens."

Osaka's four Grand Slam trophies all arrived on hard courts: two at the US Open, two at the Australian Open. Since her 2020 title in New York, her trips there have ended with losses in the third round (2021), first round (2022) and second round (2024).

The surface tends to favor the big serves and powerful, first-strike tennis that Osaka is best known for. She displayed that against Baptiste, although she also demonstrated a willingness to vary speeds and spins.

The other talent Osaka is using to great effect so far this week are returns that gets an opponent on the defensive -- winning 11 of the 18 return games she's played so far.

After her third-round exit at Wimbledon last month, Osaka split from coach Patrick Mouratoglou and began working with Tomasz Wiktorowski, who used to be part of Iga Swiatek's team.

One key, Osaka said: Wiktorowski has encouraged her to focus more on the placement of her shots "and not necessarily going for winners most of the time."

They appear to be making quick progress -- and Osaka said her impression of him changed quickly.

"Honestly, I didn't know him, I thought he was very scary, because he's very tall and he didn't smile," she said. "Now that we're working together, I see that he smiles often. He has a very friendly smile, and it's very nice. That's my little fun fact about Tomasz."