A handful of good results and points followed before he scored a career best 2nd and first podium of the season at Zandvoort due to Dennis Hauger and Gianluca Petecof crashing in the later stages of the race.

On 5 February 2021, Rasmussen confirmed that he would be moving up to the FIA Formula 3 Championship with HWA Racelab to partner Matteo Nannini and Rafael Villagómez.

He then drove for Charouz Racing System and ART Grand Prix in the post-season test, but did not sign for either team in 2022, instead switching to the FIA World Endurance Championship.

[14] On 12 January 2022, Jota Sport announced that Rasmussen would join the team and drive the 28 car alongside Ed Jones and Johnathan Aberdein in the FIA World Endurance Championship.

[17] They would bounce back in strong fashion at the 24 Hours of Le Mans however, as the Jota 28 crew took a class podium, ending up third at the checkered flag.

[22] Contact from another car saw Fittipaldi stranded in the gravel at the first Mulsanne Chicane four hours later, costing the team more time and leading them on to finish 13th in class.

[23][24] A highlight of the campaign proved to be the race at Monza: the team took an early lead with Heinemeier Hansson at the wheel and ran at the front for a majority of the contest, with Rasmussen executing a pass on Fabio Scherer to momentarily take third.

With fellow front runners WRT having to retire thirty minutes from the end, Jota were able to win unopposed, as Fittipaldi crossed the line to give Rasmussen his first victory in sportscar racing.