He is a stalwart of the LMP2 category, having taken a runner-up spot for Jackie Chan DC Racing in the 2018–19 WEC season before competing in the IMSA SportsCar Championship and the European Le Mans Series.

One of his karting achievements was the third place in the KFJ class of the Andrea Margutti Trophy, when he finished ahead of such drivers as Jehan Daruvala and Lando Norris.

[11][12] Following a second place at the season-opening Spa round, Aubry made his 24 Hours of Le Mans debut, finishing sixth in class.

[16] During 2019, the Frenchman partook in the endurance rounds of the IMSA SportsCar Championship with PR1/Mathiasen Motorsports, winning the 6 Hours of The Glen and helping Matt McMurry to the title.

[19] Aubry missed the postponed Spa event due to a positive COVID-19-test, which he had contracted as a result of his dealings in the ELMS driving for Algarve Pro Racing, leaving him unable to be part of the championship picture.

[22] In a season where only three teams competed in all rounds, a pair of retirements became the duo's undoing, as they finished third in the standings despite winning the season-ending Petit Le Mans event.

Initially announced as one of Vector Sport's drivers for the 2024 European Le Mans Series campaign, Aubry was released via a phone call one week before pre-season testing to make way for Felipe Drugovich, in a decision the Frenchman described as having shocked him.