At the Junior World Championships in Liberec (24 and 26 January 2013) Grushina placed 31st and 6th in the individual and the team ranking respectively.

In the Continental Cup, Grushina could gain points as well: in Örnsköldsvik (9 and 10 March 2013), she placed 12nd[clarification needed] and 14th.

Despite her young age, in 2013, Grushina also started to take part in FIS elite competitions, i.e. the Summer Grand Prix events in Hinterzarten (26 July 2013) and Courchevel (15 August 2013).

Aged barely 15, as the third youngest participant, in Courchevel Grushina could beat two Italian professional jumpers, Lisa Demetz and Evelyn Insam, and her older Russian teammates Anastasia Gladysheva and Stefaniya Nadymova.

[2] Grushina attends an elite sports school in Saint-Petersburg and is a member of the Junior National Team.