In 2017, Bäckman made her debut in the FIA World Rallycross Championship and finished fourteenth in the RX2 class of the event in Norway.

In this series, she had a more difficult season with a twelfth place on the Falkenbergs Motorbana as the best classification, so that she finished winless in eighteenth in the standings.

At the end of the year, she competed in the final weekend of the TCR Europe Touring Car Series at the Circuit de Barcelona-Catalunya, finishing the races in 15th and 14th place.

She also drove in the ADAC TCR Germany Touring Car Championship as a guest driver during the race weekends at Autodrom Most and the Nürburgring.

In 2021, Bäckman moved to the World Touring Car Cup, in which she will compete alongside her brother for Target Competition in a Hyundai Elantra N TCR.

[9] Jessica finished the season as Vice Champion in ADAC TCR Germany Touring Car Championship with a total of 4 wins and 9 podiums.