Pervushkina debuted internationally in the 2014–15 season, placing 5th on the 2014–15 Junior Grand Prix (JGP) series in Japan. At the Russian national championships, she finished 13th on the senior level and 10th on the junior level. At the end of the season, Pervushkina left her longtime coaches, Irina Baranova and Ilia Korzhov, to train under Evgeni Rukavicin in Saint Petersburg.