In the 2013–14 season, Pitkeev won the silver medal in Riga, Latvia, and then gold in Gdańsk, Poland competing on the 2013 JGP series. He qualified for his first Junior Grand Prix Final and won the silver medal in Fukuoka, Japan. At the Russian Championships, Pitkeev placed fifth in his second appearance on the senior level and then won the junior title, finishing 1.88 points ahead of Petrov. At the 2014 World Junior Championships, Pitkeev won the silver medal after placing seventh in the short and second in the free skate.