In 2013–14, Sinitsina/Zhiganshin started their season at the Ice Star in Minsk, Belarus, winning the silver medal behind Bobrova/Soloviev. At their sole Grand Prix assignment, the 2013 NHK Trophy, they had a bad fall while practicing a lift. They finished eighth at the event. After taking the bronze medal at the 2013 Winter Universiade in Trentino, Italy, they stepped onto the senior national podium for the first time at the 2014 Russian Championships. Competing against Riazanova/Tkachenko for Russia's third Olympic spot, Sinitsina/Zhiganshin finished ahead at nationals and then at the 2014 European Championships in Budapest. They came in fourth at the latter event, their senior ISU Championship debut.