That is uncharted territory for Draper, whose earlier finest at a serious was a fourth-round exhibiting in New York final 12 months.
It can even be the primary time the Briton has performed on the 23,771-capacity Arthur Ashe Stadium – a venue he has visited day by day throughout his time within the metropolis.
However this has been a breakthrough 12 months for Draper, following up his first ATP Tour title in June with an attention grabbing win over Wimbledon champion Alcaraz at Queen’s.
He’s now at a profession excessive of twenty fifth on the planet rankings.
“He is managed to have an extended time frame the place he hasn’t missed months of being on tour, so he is banking far more expertise,” Nice Britain Davis Cup captain Leon Smith instructed BBC Sport.
“He is getting extra expertise. He is within the greater occasions extra typically. From that, he is understanding how higher to deal with himself.”
Quarter-final opponent De Minaur is undoubtedly extra skilled. He has 9 ATP titles to his identify and has reached the final eight in three straight Slams.
He additionally leads the head-to-head, having gained all three of his matches in opposition to Draper.
However, like Draper, the 25-year-old Aussie has by no means made it to a serious semi-final.
“You are anticipating De Minaur to make it awkward and tough,” Bartoli mentioned.
“Jack might want to hit by the court docket and carry on going at him.”