Alcaraz, together with Sinner, has become a dominant force of men’s tennis after the dominant era of Djokovic, Roger Federer and Rafael Nadal.

With Federer and Nadal both retired, Djokovic is the only active member remaining from the iconic trio, and time is not on his side as he chases the 25th major that would take him clear of Australia’s Margaret Court.

But against Fritz, he showcased some of the resilience that has often defined his outstanding career.

Djokovic got off to a fast start as he broke Fritz’s opening service game on the way to a 3-0 lead, and – after missing a set point at 5-2 – the Serb fended off a Fritz fightback, saving five break points before eventually serving out the opener.

Fritz continued to threaten in the second set, but he grew increasingly frustrated as he squandered opportunities before Djokovic pounced to go 4-3 up.

But, just as Djokovic was serving for a two-set lead, the Californian finally converted his first break point – at the 11th time of asking.

However, he dropped three double faults and an unforced error in the next game and Djokovic then made no mistake in closing out the set.

The atmosphere became somewhat hostile in the third set, when Djokovic complained to the umpire about spectators shouting out during his serve.

Sensing his irritation, some of the crowd started jeering the four-time winner, while their cheers for home hope Fritz grew even louder as the 27-year-old took advantage of the disruption to break for a 4-1 lead.

Djokovic regained his composure to work his way through the fourth set and he struck the decisive blow at 5-4, with a double fault from Fritz sealing his place in the last four after a gruelling three hours and 24 minutes.

“That last game was nerve-wracking, honestly tough one for Taylor to finish with a double fault, he didn’t deserve that,” Djokovic added.

“In many of my service games I was just trying to stay alive, fight for every ball.

“In this kind of match, key points decide the winner.”