Matthew Henry and Emily Salley
All times stated are UK
Post update
That's all from us on this page tonight.
Coco Gauff, Novak Djokovic and Elena Rybakina are among those playing the night session.
You'll be able to follow those scores here.
'I started to fight for it'
Wozniacki 4-6 6-3 6-1 Brady
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More from a victorious Caroline Wozniacki:
What adjustments did she make to come from behind?
"I was a little surprised with my backhand because my backhand down the line is a money shot and I know I can it that in my sleep and it just wasn't working today.
"I decided at 0-2 down I was just going to keep going cross-court and going to fight for it. As I started to get my rhythm I kept playing better and started to fight for it.
"I thought I played really well for the last set and a half."
Winner of Coco Gauff or Elise Mertens - do you watch it or let you dad do the reconnaissance work?
"I know both of them well and Coco - what an amazing couple of months she's had, and then Elise Mertens - she's been in the semi-final of a slam before.
"I know their games very well. I'm going to just go home, enjoy a little time with my kids before they go to bed and then enjoy a nice dinner with my friends and my family."
Have you seen yourself in your own daughter?
"I definitely see myself in her. She's very determined and has a bit of a temper. She wants to play tennis - I have it coming for me, I'm sure."
Djokovic looking to continue strong run
Djokovic v Djere
Getty ImagesCopyright: Getty Images
The highlight of the night session later sees Novak Djokovic take on fellow Serbian Laslo Djere.
Djokovic is guaranteed to return to the number one spot whatever happens at this tournament, but he'd no doubt love to mark it by winning a 24th Grand Slam title.
The 36-year-old made light work of Bernabe Zapata Miralles in the second round, seeing him off in just under two hours with a 6-4 6-1 6-1.
Djokovic and Djere have met just once before - in Belgrade last year when the former triumphed 2-6 7-6(7-6) 7-6(7-4).
'I didn't think I was going to be here again'
Wozniacki 4-6 6-3 6-1 Brady
See AlsoUS Open LIVE: Alcaraz, Sinner, Raducanu, Swiatek, Boulter, Draper, Evans - live scores, results, order of playUS Open LIVE: Alexander Zverev vs Taylor Fritz - quarter-final live text & radio commentaryUS Open: Williams begins farewell with win over KovinicListen: US Open day twoGetty ImagesCopyright: Getty Images
Caroline Wozniacki speaking in her on-court interview after progressing to the fourth round:
Did she surprise herself in her return? "As a competitor and an athlete you always want to win, and you go out there and believe in yourself. To actually be here in Arthur Ashe stadium in front of all you amazing people - that's a dream come true."
"I didn't think I was going to be here again. When I retired three years ago and then I had my two kids I thought I would only be watching from the outside.
"But now I've done two matches in here - what an honour this is."
Day five headlines
Missed today's action? This is what has happened so far:
- Caroline Wozniacki has just ensured her comeback story goes on into the second week by beating Jennifer Brady
- Iga Swiatek thrashed her "best friend" Kaja Juvan to also progress
- Jamie Murray and partner Michael Venus are out of the men's doubles while Heather Watson and Kazakstan's Anna Danilina were beaten in the women's event
- But Neal Skupski and Wesley Koolhof made it through, as did British pair Julian Cash and Henry Pattenare
Post update
Caroline Wozniacki has pulled on a remarkable black cape for the post-match interview.
Game, set and match - Wozniacki
Wozniacki 4-6 6-3 6-1 Brady
Caroline Wozniacki beams! This story rumbles on into the last-16.
She has come from a set and a break down to reach the fourth round.
Getty ImagesCopyright: Getty Images
Wozniacki serving for match
*Wozniacki 4-6 6-3 5-1 Brady
Jennifer Brady is on her own brilliant comeback after serious injury but this is all about Caroline Wozniacki now.
Her comeback after more than three years out, a period that included giving birth twice, only started a month ago.
She's now two points from the US Open fourth round.
Brady holds serve
*Wozniacki 4-6 6-3 5-1 Brady
Jennifer Brady at least denies Wozniacki the bagel. Ashe has been very quiet for a while now but they give the American a cheer after this.
She still looks fed up.
'Brady's battle is internal'
Wozniacki 4-6 6-3 5-0 Brady*
Mark Woodforde
17-time Grand Slam doubles champion on BBC Radio 5 Sports Extra
The battle is internal with Jennifer Brady right now. She istrying to hit so close to the lines right now and she is just blowing rightpast them.
She has capitulated, thanks to the defence of Caroline Wozniacki.
Wozniacki closes in
Wozniacki 4-6 6-3 5-0 Brady*
I'll be honest I did not see this coming when Jen Brady was a set and a break up. Could anyone have?
Caroline Wozniacki looks like she'll be a challenge for everyone.
'Wozniacki breaks Brady's heart'
*Wozniacki 4-6 6-3 4-0 Brady
David Law
Commentator on BBC Radio 5 Sports Extra
CarolineWozniacki has broken Jennifer Brady’s heart.
So impressive, what a comebackthis is.
Wozniacki breaks again
*Wozniacki 4-6 6-3 4-0 Brady
The finish line is in sight! This is turning into a very one-sided finale.
Wozniacki has made one unforced error compared to Brady's 11.
'Nothing going right for Brady'
Wozniacki 4-6 6-3 3-0 Brady*
David Law
Commentator on BBC Radio 5 Sports Extra
Jennifer Brady is irritated by her own shoes at the moment. Nothingis going right for her.
She has a hand to her face as though she can’t bear to lookat what’s going on out there now.
Wozniacki moves further ahead
Wozniacki 4-6 6-3 3-0 Brady*
There's another game - the ninth of the past 10 - in the Dane's bag.
Coco Gauff or Elise Mertens await the winner of this one.
'Brady could do with some help'
*Wozniacki 4-6 6-3 2-0 Brady
Mark Woodforde
17-time Grand Slam doubles champion on BBC Radio 5 Sports Extra
Jennifer Brady mentally went away in this match. Frances Tiafoeshould send some of his crowd over because Brady could do with some help and alittle boost now.
Wozniacki breaks again
Wozniacki 4-6 6-3 2-0 Brady*
The look on Jennifer Brady's face says it all.
Caroline Wozniacki is playing like he old self, running everything down and soaking up pressure like a sponge.
She breaks to take a tight grip on the encounter.
Wozniacki takes lead in decider
Wozniacki 4-6 6-3 1-0 Brady*
As you'd guess from the score change-around, Caroline Wozniacki looks really good right now.
She wins the first game of the third with a volley that Brady doesn't bother chasing down.
Remember this is just her fourth tournament back.
'Fatigue setting in for Brady'
*Wozniacki 4-6 3-6 Brady
Mark Woodforde
17-time Grand Slam doubles champion on BBC Radio 5 Sports Extra
Caroline Wozniacki seems like she has the edge in overall match fitnessover Jen Brady. She is not chasing as much.
Perhaps battle fatigue is starting to appear. Brady was just leaking errors.
Game and second set - Wozniacki
*Wozniacki 4-6 6-3 0-0 Brady
She's got it!
That bad error from Brady pushes the door ajar and Caroline Wozniacki marches right through it.
We're going the distance in the battle of the comeback stories.
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