Bliznyuk suffered an injury at the start of the 2013 season and was not selected to compete with the Russian Group, she returned to competition in the Russian Group at the 2013 Sofia World Cup where they won the silver medal in all-around and gold in 2 ribbons/3 balls final. At the Minsk World Cup they won gold in all-around, silver in 2 ribbons/3 balls and bronze in 10 clubs. Bliznyuk and the rest Russian Group won all the gold medals at the 2013 Summer Universiade in All-around, 10 clubs and 2 ribbons/3 balls. The Russian Group won the gold medals in Group All-around, 10 clubs and 2 ribbons/3 balls at the 2013 World Cup Final in St. Petersburg, Russia. Bliznyuk and her Russian teammates won the Group All-around bronze medal at the 2013 World Championships, they won gold in 2 Ribbon + 3 Balls final. Bliznyuk along with rest of the remaining Russian Group Olympians terminated their careers after the World Championships. Irina Viner has stated about their dismissal and retirements: "We have made drastic changes in the composition of the group. All the girls, who a year ago at the Olympic Games were the first after the World Cup series had to say goodbye to the sport. They did not show in Kiev what could and should have been shown. The "star disease" should not be left on the carpet. And I always say that as long as you're standing on a pedestal - you're a winner, but as soon as you had gone down from it- you're no one to call you in any way".