Jabeur gets on the board with a service hold, not that Gauff will be too concerned; she has looked rock-solid on her own serve so far. On Lenglen, Jan-Lennard Struff opens with a love hold against Diego Schwartzman. The German beat Andrey Rublev on his way here, and is a dangerous opponent.
Jabeur starts the second set with a double double-fault, and Gauff claims the break with a ferocious finishing volley. It gets no better for Jabeur on the Gauff serve, her drop shots chased down and her attempted passes cut out clinically. Gauff leads 6-3, 2-0 …
Out on court 12, Dylan Alcott has won the quad wheelchair men’s singles title, beating Dutchman Sam Schroder 6-4, 6-2. It’s the Australian’s third straight French Open win, and his 14th grand slam title.
Next up: Britain’s Alfie Hewett takes on Japan’s Shingo Kunieda in the men’s wheelchair final. Kunieda has won this tournament seven times before, so Hewett has his work cut out.
Gauff closes out the first set in style, taking it 6-3. She lost just two points on her first serve, and three on her second, in that set.
Jabeur does get a drop-shot right, a lovely effort from the back of the court. It’s a rare moment of resistance in another dominant Gauff service game; the American leads 5-2 in the first set.
Up next on Lenglen it’s Diego Schwarzman, who faces Germany’s Jan-Lennard Struff. The Argentinian got to the semi-finals last year before running into Rafa Nadal, who may well be waiting in the quarter-finals this time.
Time to head over to Chatrier, where Coco Gauff has made a lightning start. Having broken Jabeur in the second game, she leads 4-1 and looks dominant on serve. Jabeur is relying on drop shots to turn points in her favour; it’s not working so far.
Krejcikova is having quite the fortnight in Paris; she’s into the quarter-finals in the singles and doubles. “I hope you’ve been entertained,” she tells an appreciative crowd. She insists it was a close game despite the scoreline. “It’s always fun to play here … I’m looking forward to playing another one.”
Krejcikova beats Stephens 6-2, 6-0!
Krejcikova finds her first ace, then scraps her way to match point. Stephens saves the first, but the Czech takes her next opportunity with another dominant rally.
Gauff opens with a comfortable service hold on Chatrier, while Stephens takes the first two points as Krejcikova looks to serve out the match …
It looks as though Krejcikova will be waiting in the quarters for either Gauff or Jabeur; the Czech is cruising to victory over Sloane Stephens, whose unforced error count has crept over 20.
Stephens tries to mix it up with a couple of nice drop shots, but as soon as she’s drawn into a rally there looks only one winner. Krejcikova breaks again, and will serve for the match.
Coco Gauff walks out onto Chatrier, where she will take on Tunisia’s Ons Jabeur. Gauff won the 2018 juniors’ title here, and is targeting a first grand slam quarter-final place as a professional.
Stephens’ serve is unravelling under the pressure, and Krejcikova breaks again with a punchy winner into the corner. She leads 6-2, 3-0 and this one looks over after less than an hour on court.
There’s no early second-set dip from Krejcikova, who immediately breaks Stephens, then backs it up with a hold. She’s been very consistent in the longer rallies, forcing Stephens to take on risky shots that she’s not making.
Krejcikova wins the first set, 6-2! Stephens holds serve comfortably but can’t make inroads as Krejcikova serves for the net. She tries a little too hard, sending two ambitious efforts into the tramlines, and Krejcikova wraps up the first set with a fine, angled volley.
Stephens gets a break point but unforced errors keep costing her, as she nets twice in a row. Krejcikova dominates the next rally, and it’s 5-1.
Krejcikova is an accomplished doubles player, winning multiple slams in the women’s and mixed events. She’s now making strides on the singles tour, reaching the final in Dubai, winning in Strasbourg and eliminating Elina Svitolina in the last round here.
Krejcikova makes it a double break, holding steady and waiting for the erratic Stephens to blink. She sends a forehand long, and it’s 4-1 to her opponent in the first set.
A very solid start from Krejcikova, who has found her rhythm quickly. She breaks after a marathon opening game, then follows up with a hold to love.
Sunday saw Serena Williams and Roger Federer bow out, with Federer withdrawing before his fourth-round match against Matteo Berrettini.
Ons Jabeur and Coco Gauff will begin at 11am (BST), but over on Suzanne-Lenglen, play has already started. Sloane Stephens, a former finalist here who has slipped down the rankings, is taking on world No 33 Barbora Krejcikova in a battle between two unseeded players.
Order of play
 Ons Jabeur v Coco Gauff 
 Novak Djokovic v Lorenzo Musetti
 Rafael Nadal v Jannik Sinner 
Evening: Marta Kostyuk v Iga Swiatek 
Sloane Stephens v Barbora Krejcikova
 Diego Schwartzman v Jan-Lennard Struff
 Sofia Kenin v Maria Sakkari 
Bonjour, tout le monde. Novak Djokovic and Rafa Nadal have successfully held off the Next Gen – but what about the Next Next Gen? Both players face teenagers today, with Djokovic up against Lorenzo Musetti before Nadal plays Jannik Sinner. Both are Italian, and both were three years old when Nadal first won the French Open in 2005.
There are more slam winners in action today, in the form of Sloane Stephens (who will be on court momentarily) and Sofia Kenin, who plays Greece’s Maria Sakkari. There’s plenty of US interest, even with Serena Williams going home – not least in Coco Gauff, chasing her first slam quarter final place today. Gauff wasn’t born when Serena first won here in 2002. Life, it comes at you fast.