And hours after 'Demon' had opened up with his predictable straight-sets win, he found a terrific Aussie terrier for his support act as Adam Walton forged past German Max Marterer 7-6 (7-3) 4-6 6-3 2-6 6-2 for just his second grand slam win.
De Minaur has begun to make a welcome habit of defeating the players he really ought to beat in the majors, and a 6-3 6-4 7-6 (8-6) victory over Serbian Djere, the world No.59, on Tuesday was his 20th consecutive win in a slam over an opponent outside the top 30.
Fortunately, not even a spell of treatment for his toe-strapped right foot at the start of the third set was enough to hold up the world No.9's fleet-footed progress, even if he did get pulled into a bit of a dogfight, having to save four set points before advancing in three straight.
Djere, who had been 5-2 up in the third, squandered two set points when serving at 5-4 and another pair when 6-4 up in the tiebreak, but de Minaur's unquenchable fighting spirit enabled him to escape and seal the deal in just over two-and-a-half hours.
"It wasn't pretty, but ultimately got the win, and that's all that matters," he smiled.
And talking of 'not pretty', he was also quick to apologise to the world for the sight of his right foot being the subject of some loving, lingering close-ups by the cameras of the host broadcasters.
"Oh, jeez. I'm sorry for everyone that who had to see that. That's not a pretty sight," grinned 'Demon'.
"Actually, it was nothing major. I often get my toes taped up before matches. One of them that wasn't taped up was rubbing against the tape, it just felt like it was rubbing."
Determined to build on his quarter-final breakthrough here last year, de Minaur, in the middle of his most promising claycourt season yet, he'll have a familiar friend backing him all the way again in the shape of French youngster Paul, the 'super fan' who cheered him on through rain and shine last year.
"Yeah, Paul's here. He made it. He's got a very distinctive way of supporting me, which even though I wasn't sure exactly where he was sitting, I could definitely hear him," smiled de Minaur.
"I made contact with him at the very end of the match - it's great to have him around again. Hopefully we can have a blast again this year."
De Minaur will next face Kazakhstan's unpredictable Alexander Bublik, the world No.62, who prevented any prospect of an all-Australian second-round clash when he defeated Sydneysider James Duckworth 6-2 6-4 6-4.
Bublik's win was littered with 16 aces and 41 winners, leaving de Minaur to acknowledge: "He's going to be extremely dangerous. He's definitely found his game as of late."
With Alexei Popyrin also having won on Monday, there was much satisfaction in Brisbane's unsung Walton ensuring there'll be three men in the last 64, as the 26-year-old, who not so long ago was asking himself if he was really good enough to make the grade in pro tennis, again offered a positive answer.
The world No.91 made most of the pace but when Marterer, an experienced qualifier, levelled at two sets all, the Queenslander must have recalled his agonising second-round defeat in a five-setter at Wimbledon last year to Argentine Francisco Comesana.
But he regrouped and raced into a 4-0 lead in the decider before prevailing in a three hour 40-minute slugfest.
Was No.2 seed Coco Gauff so nervous about facing Olivia Gadecki that it was the reason she forgot to take her racquets to the court? Even the 23-year-old Gold Coast player had to laugh that, whatever the reason for Coco's absent-mindedness, "it seems like that was the only way I was gonna win the match."
Eventually, Gadecki ended up as a fairly helpless support act as Gauff waltzed to a 6-2 6-2 victory in just 71 minutes.