Naomi Osaka v Shelby Rogers: US Open women's quarter-finals – live!

Second set: Osaka 6-3, 4-2 Rogers*

Another stress-free hold for Osaka, who’s been largely in command in her service games despite getting only 47% of her first serves in.

Second set: *Osaka 6-3, 3-2 Rogers

Rogers opens a critical service game with her second double fault of the match, but follows with three straight winners to take control, then closes out the hold with a 107mph service winner. A sorely needed hold but the American will need to make headway on Osaka’s serve if she hopes to extend this match.

Second set: Osaka 6-3, 3-1 Rogers*

Osaka backs up the break in style with a speedy hold at love: 100mph ace out wide, 112mph service winner, forehand passing winner, 108mph service winner.

Osaka breaks in third game of second set!

Second set: *Osaka 6-3, 2-1 Rogers

Rogers gets the best of Osaka with an inside-out forehand winner from a step inside the baseline to settle a 19-shot rally, the longest of the match so far. But after pounding a backhand winner down the line for 30-love, Rogers follows with her 19th, 20th and 21st unforced errors (all off forehands) to go break point down. Osaka wastes it with a mishit backhand, but she earns a second break chance moments later and converts it with a sharply angled backhand that Rogers can’t handle. Rogers with three times as many unforced errors (21) as Osaka (seven) and they’re starting to cost her.

Second set: Osaka 6-3, 1-1 Rogers*

Osaka goes down love-15 on her serve after first unforced backhand error of the night and gets pushed to 30-all as her service toss continues to betray her. But she follows with a pair of second serves that Rogers can’t return into play, closing out another hold.

Second set: *Osaka 6-3, 0-1 Rogers

Osaka pushes it to 30-all on Rogers’ serve with another crisp backhand winner, but the American outslugs her opponent from the baseline on the next two points to hold serve.

First set: Osaka 6-3 Rogers

Osaka holds comfortably from 30-all, pounding her fourth and fifth aces along the way. Both players struck 13 winners in the 38-minute opening set, but Osaka’s cleaner play (five unforced errors) has been the difference so far against the more erratic Rogers (16).

Osaka breaks in eighth game of first set!

First set: *Osaka 5-3 Rogers

A disatrous service game for Rogers. She double-faults to open, misfires on a backhand and then watches helplessly as Osaka rips a backhand winner for triple break point. Osaka needs only one of them, however, bullying Rogers around the court during a 14-stroke exchange before pounding a clean forehand winner to seal the hold at love. Osaka to serve for the first set.

Rogers breaks in seventh game of first set!

First set: Osaka 4-3 Rogers*

More service toss wonkiness for Osaka and Rogers wins the first point of the game after pouncing on a second serve for a return winner. Osaka rattles off three quick points for 40-15, but Rogers responds with a return winner and Osaka mixes in her first double fault for deuce. Rogers then comes to net early in the point (aggressive!) and pounds an overhand winner to set up her first break-point opportunity of the night, but Osaka erases it with an ace … or not! Rogers has challenged it and Hawk-Eye rules it out by inches. Now the American gets a second crack at her first break point and this time converts it with forehand return winner off a ripe 75mph second serve.

Osaka breaks in sixth game of first set!

First set: *Osaka 4-2 Rogers

Rogers opens with a pair of winners, but follows with three straight unforced errors to go 30-40 and break point down. She saves it with a backhand winner early in the point, but gives Osaka a second look at a break a few points later with another overcooked forehand. This time Osaka coverts when Rogers sends a backhand well past the baseline. Rogers has already made nearly five times as many unforced errors (14) as Osaka (four) compared to eight winners for both.

First set: Osaka 3-2 Rogers*

Another love hold for Osaka, who’s won the last 11 points on her serve.

First set: *Osaka 2-2 Rogers

Early pressure for Rogers after back-to-back unforced errors off the backhand put her into a love-30 hole on her serve. But the Pennsylvania native serves her way out of trouble, winning three quick points including a 111mph ace. Another backhand error pushes it to deuce, but she holds from there with a service winner and her second ace (upheld after an Osaka challenge). Five unforced errors off the backhand already for Rogers compared to zero for Osaka, but they’re on serve in the opener.

First set: Osaka 2-1 Rogers*

Osaka breezes to a hold at love with a forehand passing winner early in the point followed by 107mph and 110mph aces down the middle and a 75mph second-serve service winner.

First set: *Osaka 1-1 Rogers

Rogers falls behind love-15 after Osaka takes control early in a rally and pounds a forehand winner. The American wins two quick points but Osaka pushes it to 30-all when Rogers pushes a backhand long. From there Rogers hits a pair of forehand winners to get on the board with the early hold. A solid opening service game.

First set: Osaka 1-0 Rogers*

Osaka falls behind love-15, then 15-30 on her serve before leveling with a sharply hit backhand winner into the corner. She’s having a bit of trouble with her service toss early, twice balking and apologizing across the net. Rogers helps out with an unforced error on the backhand side, then Osaka crushes a 111mph ace down the middle for the hold.

Osaka has taken the court wearing a mask with the name of George Floyd, the black man killed by police in Minneapolis after an incident captured on video in which an officer knelt on his neck as he lay on the ground.

Hello and welcome to Arthur Ashe Stadium for tonight’s second women’s quarterfinal between Japan’s Naomi Osaka and Shelby Rogers of the United States. Osaka is back in the last eight of a grand slam for the first time since winning her second major at the 2019 Australian Open. Rogers, who is back in form after returning from a 13-month hiatus last year due to knee surgery, is playing in only her second career major quarter-final after making her first at the 2016 French Open.

The fourth-seeded Osaka is no doubt the favorite, but the two-time major champion in winless in three career meetings with Rogers and has yet to win a set off the American.

The players should be taking the court momentarily and we’ll pick it up with game-by-game coverage from there.