Familiar rivalries will be renewed in the men’s semi-finals at the US Open today. There have been 16 previous matches each between Rafael Nadal and Juan Martin del Potro and Novak Djokovic and Kei Nishikori, with both head to heads well in favour of one man.

But, while Nadal has beaten Del Potro 11 times and Djokovic prevailed against Nishikori 14 times, both know the challenge their respective opponents represent.

For Nadal and Del Potro, this will be a third meeting in the last five Grand Slams, all won by the Spaniard. Nadal won comfortably at the French Open and dominated a weary Del Potro after losing the first set at the same stage in New York last year, but their clash in the Wimbledon quarter-finals was one of the matches of the season. Nadal eventually won in five sets but it took all the world No.1’s immense powers to repel the mighty Del Potro forehand.

And Nadal is all too aware that Flushing Meadows, where he was one of Del Potro’s victims when he won his only slam title in 2009, is the Argentinian’s favourite stage.

“It will be a very tough one,” Nadal said. “At Wimbledon he’s a great player, he’s a great player everywhere. But the challenge of playing him on hard, of course, is even higher for me personally.

“We know each other very well. I know he’s playing well. I know that I will have to play at my highest level to keep having chances of success. I am focused on trying to make that happen.”

Nadal has been the marathon man of the tournament, spending nearly 16 hours on court, with the most gruelling coming in a late-night classic against Dominic Thiem on Tuesday. Del Potro, by contrast, has completed his victories in 12 hours and 16 minutes and at a career-high ranking of three, is relishing being back at this level after all his injury problems.

“It could be another big battle, as the Wimbledon match was,” he said. “Of course, I like to play always with the No.1 of the world, it doesn’t matter the tournament or the conditions. I just have the chance to play the greatest in this sport, and it’s amazing for me.”

Nishikori claimed arguably the best win of his career against Djokovic at the same stage in 2014 to reach his only slam final but has lost the subsequent 13 matches. So one-sided has their rivalry been that Nishikori claimed to have forgotten all about that victory.

The Japanese player, who missed last year’s tournament with a wrist injury, said: “For sure it’s going to give me good confidence, even though I didn’t remember. Maybe I will try to watch the match again.

“I don’t have a great record against Novak, but always it’s been a tough match the last couple of years. I’ve seen a chance, but I haven’t been able to make the last step. I’m always excited to play Novak, because it’s a great

challenge for me.”

Conditions were very hot and humid four years ago and the good news for Djokovic is it is expected to be much cooler today. He credited Nishikori for bringing out the best in him.

“I have a very good head-to-head score against him,” he said. “Because he plays so fast, he makes me more alert from the first point. He’s got one of the best two-handed backhands in the game and he’s very quick, if not the quickest, then one of the quickest players on the tour.”

Whatever the weather today Djokovic believes the US Open organisers must find a solution to the humidity problems on Arthur Ashe Stadium, having sweated his way through to the semi-finals in his 6-3, 6-4, 6-4, victory over Australian John Millman. Both Roger Federer and John Isner have also suggested the roof structure has made conditions more stifling.

“I personally have never sweated as much as I have here. I have to take at least 10 shirts for every match. It’s literally after two games you’re soaking. And Roger, he never sweats that much. But we saw him a couple of nights ago.

“I think that this tournament needs to address this. Because whether it’s night or day, we just don’t have air down there. This has been definitely the toughest US Open in the last 10 years that I have played in in terms of conditions.”