With Artem Chesakov, Minibaev won silver at the 2013 World Championships in the men's synchronised 10 m platform event. In 2015, in a World Championships on home ground in Kazan, Minibaev won a bronze medal in that event with Roman Izmailov. At the 2014 European Championships, Minibaev won gold in the men's 10 m platform and gold in the team event.