In British F3, he was the highest placed rookie and finished 3rd behind Alvaro Parente and Charlie Kimball, as well as managing 13th in the BP Ultimate Masters at Zandvoort, having started 16th.

Conway's decision stemmed from injuries after a crash at the 2010 Indianapolis 500 and the debate over IndyCar competing on oval tracks after the October 2011 death of Dan Wheldon.

In 2014 he ran only the road courses and street circuits for Ed Carpenter Racing winning both the Toyota Grand Prix of Long Beach as well as the Honda Indy Toronto Doubleheader.

[9] Having started the campaign with two points finishes, Conway and co-drivers John Martin and Roman Rusinov were excluded from a third place at Le Mans due to a fuel tank infraction.

[17] In addition to his duties in sportscars and IndyCar, Conway was announced as one of Dragon Racing's drivers for the inaugural Formula E season in July, though he left the team on 5 September before the first round.

[20] Over the course of the year, Toyota was unable to keep up with its rivals, as Conway and his teammates finished sixth in the standings, level on points with the sister car.

[21] After being promoted to second at Silverstone due to a disqualification for Audi, Conway made a mistake at Spa, hitting the #37 LMP2 entry and being forced to serve a drive-through penalty.

[26] He lost the lead to Jani during the night but emerged ahead due to a superior strategy in the morning; a chance of victory went begging however when the #6 had to enter the garage to fix floor damage, thus losing a place to the #2 Porsche and eventually ending up second after the #5's retirement on the final lap.

[27][28][29][30] From the middle part of the campaign the #6 would become a constant on the podium, finishing third in Mexico and America before winning its home race at Fuji after a strong performance by Kobayashi.

[34] An early lead battle at the season opener was ended when López crashed heavily, though the team bounced back to claim second at Spa.

[35] Drama followed at Le Mans: Conway had re-taken a lead he had lost during the second hour, which later became substantial because of reliability struggles for the entire LMP1 field.

With the absence of any manufacturers outside of Toyota in the top class for the 2018–19 season, Conway, Kobayashi, and López would be battling the sister car throughout the year.

[38] Their dominance showed at round one, where Conway made his way through all other classes within the first hour despite starting from the back of the grid and later narrowly lost out on victory to Fernando Alonso in the #8.

[41][42][43][44] Fuji proved to be a standout race for Conway, who took the lead from teammate Sébastien Buemi in the pits at the halfway mark and extended it to almost 15 seconds, resulting in his first win of the year.

[47] However, this would be the last win for the #7 that season, as they were held back by a collision with a GT entry at Sebring and issues at Spa, where a qualifying lap record by Conway and Kobayashi was undone by a sensor failure which lost them the chance of a podium.

[58][59] Consolation would come at the final round in Bahrain, where a pole position from Conway and López led to a victory and, eventually, the WEC title.

[70] Despite losing first place to the sister car at the season finale, Conway and his teammates ended up retaining the World Championship with a second-place finish, therefore becoming the first titlists in the Hypercar era.

[71][72] The 2022 season proved to be more difficult: the team suffered a heavy crash at Sebring at the hands of López, though they bounced back to win at Spa amidst race-ending issues for the #8.

[73][74] Conway had multiple fights for the lead with Buemi at Le Mans, but the team was forced to settle for second after encountering a front-axle motor–generator issue during the morning hours.

[85] Portimão however brought problems, with a failure of a torque sensor necessitating a swap of the left-side driveshaft and resulting in ninth place at the flag.