Popova/Vlasenko made their ISU Junior Grand Prix debut in the 2013–14 season. They won the silver medal in Minsk, Belarus and then gold in Ostrava, Czech Republic. Their results qualified them for the JGP Final in Fukuoka, Japan, where they placed fourth. After taking the bronze medal at the 2014 Russian Junior Championships, the two were assigned to the 2014 World Junior Championships and finished seventh in Sofia, Bulgaria.