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Australian Nick Kyrgios has cruised through to the third round of the Miami Open with victory over Alexander Bublik, but John Millman and Bernard Tomic lost.

Australian Nick Kyrgios has cruised through to the third round of the Miami Open with a 7-5 6-3 victory over Kazakhstan's Alexander Bublik.

Kyrgios proved far too good for his opponent in Florida, nailing nine aces across the 69 minutes and winning 84 per cent of first-serve points.

"I know he's a player who tries to keep things on his own terms ... kind of reminds me of me a little bit," Kyrgios said.

"He just needs to play those bigger points with a little more discipline ... Strange me saying that.

"I knew I had to be the disciplined one of the two today."

He'll next face Serbian Dusan Lajovic after his 2-6 6-2 6-3 upset of Kei Nishikori.

Kyrgios' compatriot John Millman, meanwhile, fell out in the second round after a 5-7 6-3 6-7(2-7) loss to Argentine Federico Delbonis.

Bernard Tomic was also unable to overcome Serbian superstar Novak Djokovic, going down to the world No.1 6-7(2) 6-2 in 73 minutes.

"(Tomic) doesn't give you much rhythm at all. Every ball is different. He can play equally well in the court and far behind the baseline, slows down the pace. He just has a very unconventional shot," Djokovic said.

In other matches, Milos Raonic earned a walkover to the third round after Maximilian Marterer's withdrawal, while John Isner defeated Lorenzo Sonego.

Robin Haase, Roberto Bautista and Fabio Fognini also won through.

Austrian Dominic Thiem, meanwhile, lost 4-6 4-6 to 22-year-old Hubert Hurkacz after winning last week's Indian Wells title.