Felipe started in karting, like many other drivers winning several championships in Brazil and Europe along the way.
In 2016, he made his single seater debut in ADAC Formula 4 with Neuhauser Racing. With Neuhauser Racing, he achieved a podium and finished 4th in the rookie standings and 12th in the standings. In the following year, Drugovich moved to Van Amersfoort Racing to once again compete in Formula 4. He also competed with them in the Italian Formula 4 championship, where he achieved 54 points.
Also in the 2016-2017 and 2017-2018 season, Felipe competed in the MRF Challenge Formula, earning 4th position in 2016-2017 and 1st in 2017-2018.
During 2017, Felipe also debuted in Euroformula Open Championship, driving for one round in Barcelona where he finished 6th in the first race and 1st in the second. This secured a seat for him in the following season of Euroformula Open with RP Motorsport and ultimately winning the championship with 14 wins.
Drugovich also competed in Spanish Formula 3 with RP Motorsport. Here, he finished 1st with 5 wins in total.
The 2019 season ended up him competing in the newly combined FIA Formula 3 Championship, competing with Carlin Buzz Racing. He drove alongside Logan Sargeant and Teppei Natori. Felipe finished 16th with his highest position as 6th.
With Carlin Buzz Racing, Felipe also competed in the Macau Grand Prix, retiring in the first race and 24th in the main race.
FIA Formula 2 Championship
Felipe Drugovich tested for MP Motorsport in the post-season Abu Dhabi testing in F2. It was later announced that he would be driving for them in the 2020 season alongside Nobuharu Matsushita.