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Djokovic was near-flawless on serve in the opening set, dropping just one point behind his first delivery, which he placed with precise accuracy. The fourth seed closed the first set in style, winning the final 12 points. 

The Serbian saw 12 of his 22 serves unreturned that set and finished the one-hour, 22-minute match having won 84 per cent of his first-serve points.

"As good as one can feel about his serve," Djokovic said when reflecting on making 83 per cent of his first serves. "Unbelievable serving the whole tournament, I’ve been serving really well. 

"Especially today and I needed it because Sebastian in the second set was just making me run and he was playing really well from the back of the court, maybe not making as many errors like in the first set."

Korda raced to a 3-0 lead in the second set and later served for it at 5-3. However, Djokovic raised his level, engaging in longer rallies at crucial moments and forcing errors from the American, who was two points from capturing the set on return at 6-5.

"It took some serves to get out of trouble. I was 0-3, 0/30 down, had some good serves and put myself in a position to [break back], which I did," Djokovic said. "Tie-break could have been anybody’s game, but again, serve got me out of trouble. 5/4, serve winner. 6/4, ace to finish the match. I’ll take that as a highlight from the match today.”

Their previous encounter came in the 2023 Adelaide final, during which Korda held championship point before Djokovic stormed back to a 6-7(8), 7-6(3), 6-4 victory.

Djokovic improved to 48-7 at the hard-court event. Two wins shy of claiming a seventh trophy in Miami, and first since triumphing at Crandon Park in 2016, Djokovic is aiming to break his tie with Andre Agassi for most titles at the ATP Masters 1000 event.

Djokovic, into his eighth Miami semi-final and a record-extending 79th at Masters 1000 level, will next face 14th seed Grigor Dimitrov. Djokovic is 20-1 in Miami after reaching the quarter-finals, with his lone loss coming to his now coach Andy Murray in the 2009 final.