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The Serbian picked up his 19th consecutive victory midway through his record 378th week as world number one, settling his last-16 clash in straight sets.
Griekspoor, at a career-high position of 39th in the ATP rankings himself, proved no match for the 22-time grand slam winner, who dismantled him inside an hour and 22 minutes.
Djokovic had looked poised for a near-flawless performance, with a late lost service game at 5-1 up in the second set the only major blemish on his display.
“It’s been a great evening for me,” Djokovic said.
“Yesterday [against Tomas Machac], I really had to work hard to get a win. Tonight, right from the blocks, I think I was sharp. I definitely played better than I did last night.
“Maybe the last three or four games weren’t the best to close the match, but I managed to find a good …