Postpublished at 19:09 British Summer Time 4 September 2017
*Nadal 6-2 6-4 4-1 Dolgopolov
It might be a case of too little, too late but Alexandr Dolgopolov is playing some great shots now.
He also holds to love to get off the mark in the third set.
Coco Vandeweghe beats Lucie Safarova 6-4 7-6 (7-2) - plays Pliskova next
Pliskova beats Jennifer Brady 6-1 6-0 in 46 minutes
Rafael Nadal beats Alexandr Dolgopolov 6-2 6-4 6-1 to reach last eight
Teenager Andrey Rublev knocks out Goffin - plays Nadal next
Fourth-round matches at Flushing Meadows
Amy Lofthouse and Caroline Chapman
*Nadal 6-2 6-4 4-1 Dolgopolov
It might be a case of too little, too late but Alexandr Dolgopolov is playing some great shots now.
He also holds to love to get off the mark in the third set.
David Law
Radio 5 live sports extra commentator at Flushing Meadows
This is as routine as Nadal could possibly have hoped for.
Nadal 6-2 6-4 4-0 Dolgopolov*
Nadal is death-staring a few members of the crowd who have rocked up late to their seats whilst he's waiting to serve.
That's been happening *all week*. You don't want to keep the world number one waiting, or he'll get his evil vamos out.
Nadal holds to love. Again.
#bbctennis
Steven King: Green sauce is normally cilantro, jalapeños, cloves, mayonnaise and lime juice. Great with chicken!
I'll give it a miss, thanks.
*Nadal 6-2 6-4 3-0 Dolgopolov
Nadal shows he is human after all, as he skews a forehand just wide of the lines after a heavy, exhausting rally.
Dolgopolov takes the advantage but loses it again. A third trip to deuce.
Nadal finds another break opportunity with a forehand in the corner.
Dolgopolov nets. Double break for Nadal.
*Nadal 6-2 6-4 2-0 Dolgopolov
Dolgopolov is asking plenty of questions of his opponent, but Nadal has all the answers at the moment.
The Ukrainian opts for a nice drop shot, and Nadal responds with a fantastic finish at the net.
Dolgopolov hits hard and fast on the forehand and Nadal scampers into a super position and finds a winner down the line for a break point.
The world number 64 manages to take it to deuce, though, and then finds a stunning angled volley.
But soon we are back at deuce...
Nadal 6-2 6-4 2-0 Dolgopolov*
Rafael Nadal casually knocks out another hold to love.
He looks so comfortable out there.
Scratch that... Rublev has just broken back and it's 4-4 in set two.
Cat Archer
BBC Radio 5 live at Flushing Meadows
What is green sauce?
Can any American readers help us out with this? It sounds weird.
Jeff Tarango
Former professional tennis player on 5 live sports extra at Flushing Meadows
Dolgopolov is on a bicycle without a chain.
*Nadal 6-2 6-4 1-0 Dolgopolov
Dolgopolov exhales heavily in frustration as Nadal continues to nick points off his serve.
After gathering his thoughts, the Ukranian executes a lovely little drop shot. That'll give him some confidence.
Oh, no it won't. After deuce, Nadal takes the advantage and break point.
And the Spaniard steals the game when Dolgopolov nets. He looks dejected.
David Goffin is a break up in the second set against Andrey Rublev over on Louis Armstrong.
The Belgia leads 3-2 and is about to serve having lost the first 7-5.
David Law
Radio 5 live sports extra commentator at Flushing Meadows
I would imagine Dolgopolov is sitting there now and thinking 'this isn't going to happen'.
Nadal 6-2 6-4 Dolgopolov*
Ace from Nadal.
Hold to love.
Second set in the bag, dropping only six games along the way.
Wowzers.
There's plenty of people enjoying the good weather in New York on Labour Day. And they should probably make the most of it - we could be in for a bit of rain over the next few days.
*Nadal 6-2 5-4 Dolgopolov
Nadal tries to eat away at Dolgopolov's serve.
At 30-30, the pair enter a brutal rally. The Ukranian tries to go for the big forehand winner from the baseline but it slaps into the net. Break point.
And Dolgopolov finds the net again on the next point. Nadal pounces. He'll serve for the second set.
Nadal 6-2 4-4 Dolgopolov*
Dolgopolov pulls out a beautiful forehand to level the game, but a couple of errors take the score to 40-15.
Nadal holds, suffocating any danger that his opponent sends his way.
Jeff Tarango
Former professional tennis player on 5 live sports extra at Flushing Meadows
Those backhands by Dolgopolov are not that predictable. He's caught Nadal by surprise once or twice. But Nadal's body serve is so effective. He's used that a lot in this match.
*Nadal 6-2 3-4 Dolgopolov
Having been very one-sided in the first set, it's like-for-like now.
Alexandr Dolgopolov holds to love again, serving out with his fifth ace.
His discipline has improved massively in the last half an hour.
Nadal 6-2 3-3 Dolgopolov*
Apparently Nadal called a trainer at the changeover to look at his blistered fingers.
He seems fine, mind. The leftie holds to love again, with a lofted forehand winner into an empty court.