Hillier is playing in his fourth Open Championship and had his best finish of tied 19th at last year’s event at Royal Troon.
New Zealand Open winner Ryan Peake is playing with six-time major winner Phil Mickelson, who lifted the Claret Jug in 2013. Peake, who earned his spot in his maiden major after victory at Millbrook in March played a practice round with fellow Aussies Cameron Smith, Marc Leishman and Elvis Smylie.
Defending champion Xander Schauffele is paired with US Open winner JJ Spaun and two-time major winner Jon Rahm, teeing off at 8.58pm NZT.
World No 1 Scottie Scheffler is in the next group at 9.09pm with Irishman Shane Lowry, who won at Royal Portrush in 2019, and 2021 Open champion Collin Morikawa.
The other featured groups go out later in the day, including Bryson DeChambeau, Robert MacIntyre and Justin Rose at 1.48am NZT Friday, followed by Jordan Spieth, Ludvig Aberg and Viktor Hovland at 1.59am and then Masters champion Rory McIlroy, Justin Thomas and Tommy Fleetwood at 2.10am.
Two-time winner Padraig Harrington, the first Irishman to lift the Claret Jug, will play the opening tee shot at 6.35am local time, 5.35pm tomorrow NZT.