He will face Juan Martin del Potro in Sunday's final.
Del Potro was leading 7-6 (3) 6-2 after two hours of play when Nadal shook his head and said he had to retire, becoming the first man in the half-century professional era to do so during a semifinal or final at the US Open.
Gauff won the French Open girls' title and was trying to become the first American to win two Grand Slam girls' singles titles in the same year since Jennifer Capriati in 1989.
He said: "It will be a very tough one". I didn't take any pleasure in watching Nadal go through the motions in that second set - especially in case he did more damage.
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"It will be a big challenge". He knows very well. "I just have the chance to play the greatest in this sport, and it's incredible for me". "I got depressed for couple of months also". "I said to my box immediately that I felt something on the knee". But Millman scuttled that showdown by stunning the 20-time Grand Slam champ in four sets in the fourth round on a hot and humid evening that Federer said sapped his energy and made it hard to breathe.
Woods finished sixth at the British Open, and has battled back from injuries and personal problems. I am having a lot of success.
After nearly 16 hours of play, Rafael Nadal's body finally gave in.
Nishikori - the first Japanese man to reach a US Open semifinal in the Open era - was a finalist in NY in 2014.
He is 14-2 against Nishikori, including a victory in the quarterfinals at Wimbledon.
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While Djokovic is known for his unreal returning skills and many players beleive that playing against him is akin to playing against a wall Del Potro's forehand has enough fire power to break down walls.
"So, yeah, I mean, there are few other things that I have in mind, knowing him from the matches we previously played against each other".
It was Nadal's second retirement from a Slam this year - both on hard courts - after Australia. "I will try to enjoy one more day". If I win, great.
But Djokovic, who looked on from the sidelines while Federer and Nadal padded their Grand Slam totals, now stands one victory away from winning Wimbledon and the US Open in the same year for the third time in his career.
The former world No 1 has credited Nishikori for bringing out the best in him as he aims to secure a seventh trip to the showcase match at Flushing Meadows, saying: "I can't really say he's a great match-up for me".
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Here's the thing about those boys from Juan Martin del Potro's hometown of Tandil, Argentina - you know the ones - who every night fill a different suite, drink beer, provide laughs and make Arthur Ashe Stadium sound like a soccer pitch: The thing about those boys is it's possible we've been underestimating their value. She was the youngest player to ever reach the girls' singles final at the U.S. Open past year before falling to fellow American Amanda Anisimova.