Coco Gauff admitted it would be a "lifelong dream" to face Serena Williams at the US Open, in what is likely to be the latter's final tournament of a glittering career.

Gauff reached the second week at Flushing Meadows in the women's singles for the first time after cruising to a 6-2-6-3 win over Madison Keys on Friday.

The number 12 seed saw off her fellow American in composed fashion to book her place in the last 16, exceeding her previous best result at the US Open in 2019.

Gauff was largely in control against the number 20 seed Keys to deliver near-flawless performance, chasing a second grand slam final of the year after finishing as runner-up at the French Open to Iga Swiatek.

She will face China's Zhang Shuai in the next round, but when asked if she will watch Williams' match against Ajla Tomljanovic later in the day during her on-court interview, Gauff said she would, adding: "It's been amazing watching Serena's matches so far. I don't know when I'd be due to face her but that's the goal.

"It's been a lifelong dream of mine to do that. Five years ago yesterday I was watching Venus and Serena play here. It's crazy to be on this court now.

"I tried to flex to my friends that I had courtside seats, now I'm on the court!"

Should both remain in the tournament, Gauff and Williams would face each other in the semi-finals.

Gauff also paid tribute to Keys, and to the crowd at Arthur Ashe Stadium, saying: "[The win] means a lot to me... I missed my alarm and was so late. I was here until 9pm last night and lost a doubles match [with Jessica Pegula].

"Kudos to my team, they got me up for it.

"I wasn't sure how the crowd was going to go. We all love Madison... I'm good friends with her off the court, but having support here meant a lot."

Ons Jabeur has now made it to the second week in all four grand slams after her win over Shelby Rogers at the US Open.

Jabeur, the fifth seed at Flushing Meadows, had previously fallen short of making the second week in the season's final grand slam, having reached the third round in three successive years between 2019 and 2021.

But the Tunisian world number five ended that wait with a 4-6 6-4 6-3 defeat of American Rogers.

Jabeur reached the final at Wimbledon this year, her first appearance in a major showpiece match, but lost to Elena Rybakina.

She has made it to the fourth round of the grand slams six times, having managed quarter-final runs at Wimbledon (2021) and the Australian Open (2020).

Another US Open fourth-round debutant awaits Jabeur in the form of Veronika Kudermetova, who despatched Dalma Galfi 6-2 6-0. 

Kudermetova's victory took just 46 minutes, making it the shortest match of the tournament.

Serena and Venus Williams saw hopes of one last US Open glory run together scuppered by a Czech pair who apologised for knocking out the American superstars.

The Williams sisters lost 7-6 (7-5) 6-4 against Lucie Hradecka and Linda Noskova on Arthur Ashe Stadium, with the doubles match given top billing in the New York night session.

Such scheduling had previously been unheard of, but such is the attention being foisted on the sisters that first-round doubles encounter was the match everyone wanted to see, knowing it could well be the last time the siblings play as a team.

Serena has indicated, albeit couched in somewhat vague terms, that this US Open will be her farewell to tennis. Venus, now 42, may follow suit and also retire from the sport.

While 40-year-old Serena remains in the singles, having beaten world number two Anett Kontaveit in round two to set up a Friday night clash with Ajla Tomljanovic, the dream of one more Flushing Meadows doubles title is over.

It was Czech-out time for the duo who have won 14 grand slam doubles titles together, and Hradecka said sorry to the partisan crowd for spoiling the party.

"I'm still in shock that we won, because we were playing for the first time with each other and I think we did a very good job," Hradecka said.

"I'm so sorry for you that we beat them, but we are so happy that we did it."

Hradecka had been planning on playing with Indian Sania Mirza, but an injury for Mirza put paid to that idea, meaning a new partner was required.

Noskova, 17, answered the 37-year-old Hradecka's call, and enjoyed a night to remember.

"Playing against the Williams sisters is a special moment for everybody, anytime," Noskova said.

"I was really lucky I could play with my doubles partner and we could win and pull out a good fight."

It was the Williams' first doubles match at a grand slam since the 2018 French Open, and their first at the US Open since 2014, and although it was a tight contest the younger pair just had the edge.

Neither sister gave an on-court interview or a press conference after the match, with all eyes now turning towards Serena's singles campaign, and the possibility of that extending deep into the second week.

Tennis great Roger Federer has congratulated outgoing 23-time major winner Serena Williams on an "incredible career".

The 41-year-old Swiss revealed in a video message posted by the ATP Tour that he stayed up as a teenager to watch Williams' maiden US Open triumph in 1999 and lavished praise on her impact in the sport.

Williams, 40, last month announced her intention to evolve out of tennis after the US Open, where she has remarkably progressed to the third round following her upset win over second seed Anett Kontaveit on Thursday.

"I wanted to congratulate you for a most incredible career," 20-time grand slam champion Federer said.

"You know what you've achieved. I know what you've done. You know what it is, it just beyond incredible.

"I know it's probably with mixed feelings you're leaving this wonderful sport that has given you everything and more. I wish you all the best with your family."

Williams has won six US Open titles during her decorated playing career, including her maiden Flushing Meadows triumph in 1999.

"I think back at '99 at the US Open when you played Martina Hingis, I stayed up late to watch you battle it out as that was the beginning to your incredible career that you've had ever since," Federer said.

"I think the future is going to be wonderful for you. I'm sure it is. Please return to tennis. The tennis community and family will always welcome you with open arms and always be happy to see you again, so please return.

"For now enjoy this moment, enjoy the US Open, enjoy everything that's coming this next couple of weeks even though it might be hard for you.

"But I'm thinking of you and all my respect. I wish you all the very best for your future. Take care Serena."

Federer has not played professional tennis since Wimbledon last year, but has not retired and the former world number one is hoping for a return to action soon.

Serena Williams and sister Venus were unable to advance past the first round of the doubles at the US Open, going down 7-6 (7-5) 6-4 against Czech duo Lucie Hradecka and Linda Noskova on Thursday.

It was the Williams' first doubles match at a grand slam since the 2018 French Open, and their first at the US Open since 2014, less than 24 hours after Serena's stunning upset of world number two Anett Kontaveit.

Leading 5-4 in the first set, the sisters had two opportunities to break and secure the first set, but ultimately let them slip, before going down in a competitive tiebreaker.

They were far from outclassed, winning 48 per cent (49-of-102) of the points in the opening set, and 45 per cent (33-of-74) in the second.

After going down 3-0 in the second frame, instead of rolling over, the Williams sisters fought back, pulling it back to 4-4, but that would be their last stand before dropping the next two games and the match.

There was no on-court interview for the Americans, although 17-year-old Noskova called it "a special moment" and said "I was really lucky" for the opportunity to play against her heroes.

Serena will continue her singles campaign in the third round on Saturday night against unseeded Australian Ajla Tomljanovic.

Alize Cornet is through to the third round of the US Open after defeating Katerina Siniakova 6-1 1-6 6-3, making it the first time she has been beyond the second round of every grand slam in a single season.

Cornet, who defeated reigning champion Emma Raducanu in straight sets to begin her campaign, was terrific with her return game early on, winning 54 per cent of the points off Siniakova's serve in the opening set.

Three double faults for Cornet and the inability to win a single point off her second serve led to a quick second frame for Siniakova, but she steadied in the decider, becoming the first Frenchwoman to win her opening two rounds of each grand slam in a season since Caroline Garcia in 2017.

Cornet has now won five of her past six matches and should be considered a threat given her victory over world number one Iga Swiatek at Wimbledon in July.

She will play the winner between Danielle Collins and Cristina Bucsa in her next match.

Iga Swiatek suggested there has been a lack of leadership at the top of tennis in how to deal with Russia's invasion of Ukraine after Victoria Azarenka was shunned by Marta Kostyuk at the US Open on Thursday.

Ukrainian Kostyuk elected not to shake hands with Azarenka following a second-round defeat at Flushing Meadows, instead merely tapping rackets.

That came after Kostyuk criticised the Belarusian for participating in a charity match for Ukraine, before the United States Tennis Association announced she would no longer be involved.

Belarus maintains close ties with Russia and has been under sanction from western nations for supporting Vladimir Putin after the Russian invasion of Ukraine in March.

Both situations led to a frosty atmosphere following the conclusion of the tie, which Azarenka won 6-2 6-3.

Asked if anything could be done to address tensions between players on the tour, world number one Swiatek, who booked her place in the third round with a 6-3 6-2 win over Sloane Stephens, said: "Well, basically I think it's already too late. I mean, it's never too late, you know, but I think the best time for ATP or WTA to do anything was when the war started, and where the tension was pretty big in the locker rooms.

"I think right now it's already pretty messed up, and maybe next time it's gonna be easier for us to handle it if somebody is going to guide us and somebody is going to even arrange some meetings between players and showing that we should be united.

"Even though there are countries who are invading other countries, we are tennis players. It's sad but it's not our fault that it's happening. Yeah, I think it would be much, much easier at the beginning to do that.

"Right now, it's kind of too late to fix that. But I think it's just in between players and their personal relationships how you're going to handle it and how you're going to communicate to each other.

"But from my case, right now it's easy to say that maybe there was lack of leadership, but at that time I didn't know what to do either. But there are smarter people than me, so they should kind of have an idea."

Victory over Stephens means Swiatek has now won 52 matches in 2022. The last players with more WTA-level wins in a single campaign were Ash Barty (57) and Kiki Bertens (55) in 2019.

Serena Williams is dominating the headlines, though, in what is likely to be her last tournament before retirement – a situation Swiatek is more than happy with. 

Asked if she felt like she was flying under the radar, Swiatek said: "Maybe a little bit, yeah, for sure. You can see the difference than on Roland Garros and on Wimbledon when I came back after winning Roland Garros.

"But I would say it doesn't really matter for me. If I'm going to play well and if I'm going to do my work on court, I know I will be fine in terms of everything that's going around.

"But, yeah, Serena totally deserves it and it's pretty obvious for me that she's going to be in the spotlight in this tournament. That's kind of her time right now. I'm just playing and focusing on that, and that's the most important thing for me."

Swiatek will face Lauren Davis in the next round after the American beat Ekaterina Alexandrova 0-6 6-4 7-6 (10-5). 

Victoria Azarenka was not concerned by being shunned by Marta Kostyuk at the US Open, adding that she has tried to contact the Ukrainian throughout the year.

Kostyuk elected not to shake hands with Azarenka following a second-round defeat at Flushing Meadows, instead merely tapping rackets.

That came after Kostyuk criticised the Belarusian for participating in a charity match for Ukraine, before the United States Tennis Association announced she would no longer be involved.

Belarus maintains close ties with Russia and has been under sanction from western nations for supporting Vladimir Putin after the Russian invasion of Ukraine in March.

Both situations led to a frosty atmosphere following the conclusion of the tie, which Azarenka won 6-2 6-3.

"Well, I wasn't surprised. I don't believe that making a big deal out of it is important. I always shake hands with my opponents. I had the same situation with [Dayana] Yastremska in Washington. It is what it is. I just move on. I cannot force anybody to shake my hand. It's their decision," Azarenka said in a press conference.

Asked if she had spoken to Kostyuk, Azarenka added: "I've offered many times through WTA, because I believe that there is a sort of sensitivity. I've been told that that's not a good time.  

"I don't have, or I never had a close relationship with Marta. I obviously knew who she is, but I've never practiced with her. I've never really had conversation with her.

"So in March when everything happened, I reached out to all the players that I personally know and I still have a good relationship with and, you know, I don't feel that forcing myself to speak to somebody who maybe doesn't want to speak to me for different reasons is the right approach. But I offered."

Kostyuk was asked about the decision not to shake hands and explained her reasons, saying she believed it was not "the right thing" in the current climate.

"I just don't think it's the right thing to do in the circumstances I'm in right now," she said.

"We had a great match, don't get me wrong. She's a great competitor, I respect her as an athlete but that has nothing to do with her being a human being."

Victoria Azarenka has played down the significance of being shunned by Marta Kostyuk at the US Open, adding that she has tried to contact the Ukrainian throughout the year.

Kostyuk elected not to shake hands with Azarenka following a second-round defeat at Flushing Meadows, instead merely tapping rackets.

That came after Kostyuk criticised the Belarusian for participating in a charity match for Ukraine, before the United States Tennis Association announced she would no longer be involved.

Belarus maintains close ties with Russia and has been under sanction from western nations for supporting Vladimir Putin after the Russian invasion of Ukraine in March.

Both situations led to a frosty atmosphere following the conclusion of the tie, which Azarenka won 6-2 6-3.

"Well, I wasn't surprised. I don't believe that making a big deal out of it is important. I always shake hands with my opponents. I had the same situation with [Dayana] Yastremska in Washington. It is what it is. I just move on. I cannot force anybody to shake my hand. It's their decision," Azarenka said in a press conference.

Asked if she had spoken to Kostyuk, Azarenka added: "I've offered many times through WTA, because I believe that there is a sort of sensitivity. I've been told that that's not a good time.  

"I don't have, or I never had a close relationship with Marta. I obviously knew who she is, but I've never practiced with her. I've never really had conversation with her.

"So in March when everything happened, I reached out to all the players that I personally know and I still have a good relationship with and, you know, I don't feel that forcing myself to speak to somebody who maybe doesn't want to speak to me for different reasons is the right approach. But I offered."

Kostyuk was asked about the decision not to shake hands and explained her reasons, saying she believed it was not "the right thing" in the current climate.

"I just don't think it's the right thing to do in the circumstances I'm in right now," she said.

"We had a great match, don't get me wrong. She's a great competitor, I respect her as an athlete but that has nothing to do with her being a human being."

Iga Swiatek is through to the third round of the US Open after securing a routine victory against Sloane Stephens at Arthur Ashe Stadium.

Stephens, who won the 2017 US Open, struggled to keep up with Swiatek as the latter showed her quality on Thursday to win 6-3 6-2.

The number one seed set the tone early by breaking her 29-year-old opponent, and though Stephens responded by breaking straight back, she lost her own service again immediately after.

Swiatek almost broke for a third-straight time but Stephens was able to rescue herself from 15-40 down in the fifth game of the match, though it just delayed the inevitable as the Pole sealed the first set after her opponent hit a backhand effort down the line too long.

There was little sign of a momentum shift as Swiatek broke twice more and raced to a 4-0 lead in the second set.

Though Stephens was taking several games to deuce, Swiatek showed her class to edge over the line in most of them and although the American made the score more respectable with two service holds, it was not enough.

Swiatek confirmed a routine victory with a service hold to love, and will now face another American, Laura Davis, in the next round.

Data Slam: Swiatek's impressive 2022 numbers grow and grow

Swiatek has now won 52 matches in 2022. The last players with more WTA-level wins in a single campaign were Ash Barty (57) and Kiki Bertens (55) in 2019.

The way she is playing at Flushing Meadows, it would not be a surprise to see her overtake Bertens before the end of the tournament.

WINNERS/UNFORCED ERRORS
Swiatek – 14/17
Stephens – 7/18

ACES/DOUBLE FAULTS
Swiatek – 1/2
Stephens – 1/3

BREAK POINTS WON
Swiatek – 4/12
Stephens – 1/2

Serena Williams revealed how Tiger Woods encouraged her to return to tennis for one last glory mission after she powered into round three of the US Open.

Golf great Woods was on his feet and rapturously celebrating as Williams beat number two seed Anett Kontaveit on Wednesday night in New York.

He had been invited to sit in Williams' player box and shared conversations with Venus Williams as they watched Serena push past Kontaveit with a dynamic display, coming through 7-6 (7-4) 2-6 6-2 on Arthur Ashe Stadium.

It was remarkable from the 40-year-old on court as she found an extra gear for the deciding set, teeing up a clash with Australian world number 46 Ajla Tomjlanovic.

Williams has firmly indicated this will be her final tournament before retirement, and a host of stars have come out to watch her in action, with former US president Bill Clinton in the crowd for her first-round match.

Woods, actress Zendaya and film director Spike Lee were among those watching the Kontaveit match, and Williams suggested afterwards that she and 15-time major champion Woods had helped each other with their respective comebacks.

At this time last year, Williams was sidelined by a leg problem sustained at Wimbledon, while Woods was recovering from the serious leg injuries he suffered in a car crash.

"He's one of the reasons I'm here, one of the main reasons I'm still playing," Williams said. "We talked a lot. He was really trying to get me motivated.

"There's a few people, but we were like, 'Okay, we can do this together'.

"It was good, because I didn't know what I wanted to do. I was just lost, so many questions. When you can rely on someone like that, I mean, my goodness, he's Tiger Woods, it was really helpful to get clarity."

What Williams is wary of at this stage is raising her own expectations.

She was charmingly dismissive of an on-court question when asked if she was surprised by how well she was performing.

As far as Williams is concerned, she has proven countless times she is the greatest player, certainly of her own era, so even with limited preparation she backs herself.

But thinking too intently about winning majors may have been costly in recent years, with Williams having lost her last four grand slam finals to remain on 23 singles titles, one short of Margaret Court's all-time record.

"I cannot think that far," when asked about the prospect of winning the tournament. "I'm having fun and I'm enjoying it. Honestly, I've had so many tough matches the last I don't know how long that I just feel like just being prepared for everyone that I play is just going to be really, really difficult. Get through those moments."

In typical Williams fashion, she has danced around the subject of retirement since writing in Vogue in early August she would be "evolving away from tennis".

She spoke of wanting to "relish these next few weeks" in the magazine article, and so far at Flushing Meadows she is savouring every moment.

Serena and Venus were due to play doubles on Thursday, again on the Ashe Stadium court, with more fanfare expected.

"I think I've mostly been kind of blocking everything out, but then at the same time I've been embracing a little bit of it, because I also want to enjoy the moment," WIlliams said.

"I just feel like I have had a big red X on my back since I won the US Open in '99. It's been there my entire career, because I won my first grand slam early in my career.

"But here it's different. I feel like I've already won, figuratively, mentally. It's just pretty awesome the things that I've done."

Serena Williams' remarkable run in her final grand slam continued to gather pace on Thursday as she reached the US Open women's singles third round with a 7-6 (7-4) 2-6 6-2 triumph over Anett Kontaveit.

The record-breaking 23-time major winner may be set to step away from tennis following the conclusion of this year's event at Flushing Meadows, where she is also partnered with sister Venus in women's doubles.

But her latest victory arguably ranks as one of the most impressive she has racked up in recent years, with the record-extending stats underneath her win backing up her place in the sporting pantheon.

Williams has now won 367 matches in grand slam tournaments, comfortably extending her Open Era record for women's tennis and moving her within two of Roger Federer's outright record of 369.

In turning over Kontaveit, she also made it 10 victories against top-two seeded opponents in grand slam tournaments on the trot, last losing such a match at the 2007 US Open against Justine Henin.

In addition, it also brought up 100 US Open match victories when winning the opening set, with Williams having only tasted defeat on a further three occasions when striking first at this major.

Serena Williams says this is the most free she has felt on a tennis court in over 20 years after shocking world number two Anett Kontaveit 7-6 (7-4) 2-6 6-2 to advance to the third round of the US Open.

Williams, 40, found another gear in the deciding set as she rode the wave of momentum that came from the raucous, sold-out Arthur Ashe Stadium crowd.

While Williams rose to the occasion, Kontaveit folded, posting three winners and 11 unforced errors in the third set, allowing the all-time great to secure the victory with a break-to-love.

On the court after the match – after a recorded video message from Oprah Winfrey also aired after Monday's win over Danka Kovinic – Williams said while everyone else may have been surprised by the result, she still has supreme confidence in her abilities.

"Well, I'm a pretty good player," she said playfully. "You know, this is what I do best. 

"I love a challenge. I love rising to the challenge. Yeah, I haven't played many matches, but I've been practicing really well. 

"In my last few matches, it just wasn't coming together. I'm like, this isn't me. The last couple matches here in New York, it's really come together."

Williams admitted that she thought to herself "this could be it" after dropping the second set, but highlighted the fact that this is the first time in over 20 years that she does not feel like she has a target on her back.

"Honestly, I'm just looking at [this run] as a bonus," she said. "I don't have anything to prove. I don't have anything to win. I have absolutely nothing to lose.

"Honestly, I never get to play like this since '98 really. Literally, I've had an 'X' on my back since '99. It's kind of fun.

"I really enjoy just coming out and enjoying it. It's been a long time since I've been able to do that."

Lastly, Williams talked about what it will be like to step back out onto the doubles court with sister Venus Williams on Friday night.

"I'm so excited for doubles," she said. "It's like, it's been so long. We got to play again, we got to bring the reunion back.

"I'm excited to play with Venus, get some more practice – because I could use the matches."

Serena Williams gave the celebrity-laden crowd in Arthur Ashe Stadium on Wednesday night a taste of her very best, pulling through in the third set to defeat world number two Anett Kontaveit 7-6 (4-7) 2-6 6-2.

The two-hour-and-27-minute victory sees Williams, who has announced her intention to evolve out of playing tennis after the US Open, move into the third round where she will face Australian world number 46 Ajla Tomjlanovic.

The opening set had Williams' power serving game on full display, winning 89 per cent (24-of-27) of the points when she landed her first serve fair, while producing six break point opportunities in her return game while only facing three.

She could only convert one of those break point chances, going up 5-4 with a chance to serve out the set, before handing the break straight back, leading to a tiebreaker.

Of the 11 tiebreaker points, only one went against the serve, with Williams seizing her opportunity to secure the opening frame.

As Williams' serve fell off in the second set – only winning 50 per cent of her successful first serves – Kontaveit fought her way back into the game, producing a clean set as she hit 13 winners to only three unforced errors, wrapping up the frame in a snappy 36 minutes to take it to a decider.

After holding serve to open the set, Williams then took a 2-0 lead as she was able to convert her third break point chance of the marathon 13-point game. That was followed with a 12-point game where Kontaveit was able to break back, as the 40-year-old American was visibly slowing down the longer the match dragged on.

As Williams' energy reserves began to run low, she tried to compensate with as many one-shot rallies as possible, going for sink-or-swim drives down the line and across the court – resulting in some spectacular winners, but also an increase in unforced errors.

It turned out to be the right strategy as Kontaveit continued to have trouble with Williams' power, giving up the late break again to go down 3-1 before the living legend consolidated her advantage with a hold-to-love, sending the crowd wild as they could see the finish line.

With Tiger Woods in her players' box cheering her on, Williams secured a point from a 19-shot rally as the atmosphere hit fever pitch, and despite the effort required in that point, she was able to repel another break point opportunity to hold and go 5-2 up.

Ultimately, the cauldron inside the sold-out stadium proved too much for Kontaveit, who could not find winners down the stretch. She posted three winners and 11 unforced errors in the final set, including a double-fault in her final service game as she was broken-to-love to secure the stunning result.

Data Slam: Serena continues to win the big matches

Williams has now won her last 10 grand slam matches against opponents ranked in the top-two, with her last loss coming to Justine Henin 15 years ago at the 2007 US Open.

She has also only lost three of her previous 104 US open matches when she has won the first set, and is 42-0 in the opening two rounds at Flushing Meadows.

WINNERS/UNFORCED ERRORS

Williams – 38/39

Kontaveit – 30/27 

ACES/DOUBLE FAULTS

Williams – 11/6

Kontaveit – 5/5 

BREAK POINTS WON

Williams – 5/12

Kontaveit – 5/11

The hype around Serena Williams' potential swansong tournament is "the biggest thing I've ever seen in women's tennis", says Torben Beltz, the coach of her next opponent Anett Kontaveit.

Williams has announced she is soon to retire, and the US Open is widely expected to be her final tournament.

The 23-time grand slam champion came through in straight sets in her first-round match against Danka Kovinic to set up a tough meeting with world number two Kontaveit on Wednesday.

Beltz wanted to watch Williams' opening match but could not do so after Arthur Ashe Stadium sold out, with reports of tickets on the secondary market on sale for around $1,000.

And Beltz says he has not seen anything like it, telling the New York Times: "I couldn't get a ticket. 

"This is the biggest thing I've ever seen in women's tennis. I think it's the greatest thing for the sport, and we all have to thank Serena for all she did. Especially right now with the end coming."

While Beltz's charge Kontaveit is favourite for the second-round match, the Estonian's coach knows it will be a tough match against the six-time US Open champion.

"I think her ball speed, serve and return is really up to her prime time," Beltz added.

"I saw her other matches, and it looks like she's improved over the last couple of weeks. She looks in better shape and looks good now.

"For Anett, I think the key is to just go out and try to play her best tennis but also enjoy the moment. It's going to be a big challenge, a great challenge, but I think she wants that challenge and wants to embrace it."