British number one Andy Murray will face American world number 104 Tennys Sandgren in the first round of the US Open, while Johanna Konta will play Serbia's Aleksandra Krunic.
Konta, whose opponent is ranked 77, may face Simona Halep in the third round, a repeat of the Wimbledon quarter-final.
However, the Romanian world number two will have to overcome wildcard Maria Sharapova at the first hurdle.
Roger Federer and Rafael Nadal are seeded to meet in the men's semi-final.
Federer will start against American youngster Francis Tiafoe and new world number one Nadal faces world number 84 Dusan Lajovic of Serbia.