Iga Swiatek could reach double figures for grand slam titles but Wimbledon may be a stumbling block, according to Marion Bartoli.
Speaking to Stats Perform, Bartoli said she did not expect any player on the WTA Tour to match the "greatness" of Serena or Venus Williams.
The Frenchwoman, who won the 2013 Wimbledon women's singles title, also claimed the level of competition is currently not as strong as it was for the previous generation.
She is sold on Swiatek, though, who added to her 2020 and 2022 French Open titles by winning the US Open earlier in September.
The 21-year-old Polish player has emerged as the clear world number one since Ash Barty retired in March, stringing together 37 consecutive wins at one point until Alize Cornet beat her in round three at Wimbledon.
A lull in her performances followed that exit on the grass, but Swiatek fought her way through the field to triumph in New York.
"I was very impressed by how Iga this time with the US Open came with absolutely zero confidence and still found a way to win, and that is really a champion's mind," Bartoli said.
""She played really not great tennis in Toronto, not good tennis in Cincinnati, didn't play that well before the US Open. Whatever she worked on with her coach, she went on and plugged in for seven matches and to win the title, which is very impressive.
"So I think the level it's not at the highest, but I think the way she has been able to handle the pressure and go for it and win was absolutely very, very impressive.
"And she will win more. For sure she will win more on clay, she will win more on normal, slower hardcourts. Maybe not grass, but slow hard court is really a good surface for her as well. So easily between five and 10 for Iga, easily."
With Serena Williams saying a fond farewell to competitive tennis at the US Open, the women's tour has lost a 23-slam giant. In Bartoli's mind, there may be nobody of the great American's prowess to emerge for many years to come.
She said: "I think it's unfair to ask any of the current women's players to be as dominating as Serena was, or you know Venus as well.
"You just can't ask them to be at that level of greatness. You get that one out of a century or even two centuries. So I think we will have to wait a while before we get the next Serena Williams.
"And even Coco [Gauff] has talked about it, [saying] 'I'm not Serena, I will probably not get 23 grand slams like Serena you know, so stop putting pressure on me'.
"I think they're just trying their hardest, they're just trying their best, but obviously as Maria Sharapova said and I agree with her, the level of competition we used to have when all of us were playing was I think higher than what it is now."
Bartoli pointed to the example of Emma Raducanu, as a near-unknown, winning the US Open last year. She said that triumph for the British teenager was "out of any rational thoughts".
"This year she lost first round [to Cornet] and she dropped to 80 in the world," Bartoli added.
"You know that someone at 80 and someone at five, there is not so much of a difference in terms of level. And that's why you see those sort of upsets and constant change."
WTA Finals: Sabalenka digs deep to reach semi-finals
Aryna Sabalenka became the first player to book her place in the WTA Finals semi-finals after her straight-sets win over Jasmine Paolini on Monday.
The Belarusian had to dig deep in the second set but prevailed in 91 minutes, beating the Italian 6-3 7-5 in Riyadh to secure top spot in the Purple Group after two games.
While Sabalenka cruised through the first set, she was almost forced to a decider, but saved two set points in the 10th game of the second to level the score at 5-5 before going on to claim the victory.
In doing so, she became the first player to reach back-to-back semi-finals at the tournament as world number one since Serena Williams in 2013-14.
Having won three of her previous four tournaments and won 22 of her 23 matches in that time, Sabalenka is now just one win away from securing the year-end world number one spot for the first time, a feat she can achieve if she beats Elena Rybakina on Wednesday in the final round-robin match.
And she can go into it with confidence after improving her record against top-five opponents in 2024, with this her fifth such triumph.
"I'm proud of myself. Not only myself, my team," Sabalenka said.
"We were able to overcome a lot of things. To be able to show such great tennis and become World No. 1. It's teamwork. It's not only me. The behind-the-scenes work nobody sees.
"But they do a lot for me. I really appreciate them for everything they do for me. This is motivation for me to keep winning on this court. Those guys deserve to be called the best team ever."
In Monday's other match, Zheng Qinwen kept her hopes of reaching the final four alive with her win over Rybakina.
The Olympic champion was forced to go the distance though, despite getting the first break in the first and second sets, but eventually came out on top 7-6 (7-4) 3-6 6-1 in just under two-and-a-half hours.
Since the event's inauguration in 1972, Zheng is just the second Chinese player to win a match at the WTA Finals after Li Na.
It was a milestone victory for the 22-year-old as well as she earned her 50th win of 2024, improving her record to 50-17, making her the first Chinese player in the Open Era to hit that mark in a calendar year, though she acknowledged she could have made things easier for herself.
"I was the one to make the first break, and then I let her back in the first," Zheng said.
"Then it happened again in the second. But in the third set, I talked to myself. I broke her first and I stayed focused.
"Finally, in the third set, I start to play my tennis again. So, I'm really happy to win the match."
WTA Finals: Swiatek battles from the brink to make winning start
Iga Swiatek began her bid to regain the world number one ranking by recovering from a set and double break down to beat Barbora Krejcikova in her first match at the WTA Finals.
Swiatek, playing in her first competitive game since her US Open quarter-final exit, emerged a 4-6 7-5 6-2 victor against the Wimbledon champion in Riyadh.
The Pole is the third player in the last 30 years to achieve three or more seasons in a row with over 60 wins, after Martina Hingis (1997-2001) and Caroline Wozniacki (2009-2011).
Only Elina Svitolina (12) has played fewer matches at the WTA Finals than Swiatek (13) to achieve 10 wins at this event since the reintroduction of the Round Robin format in 2003.
But the Pole acknowledged the difficulties she faced against Krejcikova, saying she must improve if she is to retain her WTA Finals crown.
“Even though I played a lot of those [practice] matches,” Swiatek said afterward. “I kind of forgot for a while how it is to feel all those things, a bit different stress and emotions.
"For sure, I needed some time to adapt. The most important thing was that even though it happened, I managed to fight through that. And was patient enough to wait to get better.”
In Sunday's other match, Coco Gauff beat fellow American and doubles partner Jessica Pegula 6-3 6-2 in the second Orange Group match.
Gauff moved to a win-loss record of 51-16 in 2024, including the Olympics and team events, equalling her career-high from 2023 for WTA-level match wins in a calendar year.
She is now only the fifth player to claim 20 or more WTA top 10 wins before turning 21, along with Kim Clijsters (45), Maria Sharapova (39), Ana Ivanovic (26) and Wozniacki (23) since 2000.
"I think maybe I served better than previous times and this is our first time, I think, playing each other on indoor hard, so maybe that had something to do with it," Gauff said.
"I don't know. I think I know I've lost to her a lot, but it doesn't feel like it sometimes.
"Because we do practice a lot, and obviously, when we're playing sometimes I win practice sets, sometimes she does. So it doesn't feel like the head to head is as bad as it was."
Zverev soars past Humbert to claim Paris Masters crown
Alexander Zverev soared to the Paris Masters title following a commanding 6-2 6-2 victory over home favourite Ugo Humbert in the final.
The German took just 75 minutes to seal his seventh career ATP Masters triumph, and second silverware of the season.
Humbert received a raucous reception as he aimed to become the first Frenchman to win this event since Jo-Wilfried Tsonga in 2008.
However, the crowd were silenced when Zverev broke in the third and fifth games on his way to taking the opening set.
The Italian Open champion also dominated the second set, dropping just five points on serve as he wrapped up a comfortable victory.
"I knew I had to play like this to win today," Zverev said. "Ugo is an incredible player, but here in Paris, he plays even better than he usually does, and I knew that.
"Once the crowd gets involved, it's going to be difficult. So, I had to take that away early, and I did, so I'm happy about that."
Zverev was also delighted to triumph in Paris, and demonstrate the strides he has made since suffering a horrifying ankle injury during his 2022 French Open semi-final against Rafael Nadal.
"It was not 100% guaranteed that I would be back at this level," he added. "So, to win this title here in Paris means the world to me, and I'm sure it means everything to those in my box, because they have done so much for me."
Data Debrief: Zverev surpasses Medvedev and matches Sinner
Runner-up to Daniil Medvedev in 2020, Zverev went one better at the Accor Arena four years later, and will be seeded second at the season-ending Nitto ATP Finals.
The second German to win this event after Boris Becker, he surpassed Medvedev (six) with his seventh ATP Masters crown the outright most of any player born since the format's inception in 1990.
Zverev also matched world number one Jannik Sinner for the joint-most match wins in ATP Masters events this season with 28.
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