Following the Olympics, Morozov competed at the 2012 European Short Course Championships and the 2012 World Short Course Championships held at the end of 2012. At the European Championships in Chartres, Morozov won seven medals including individual titles in the 100-meter freestyle and individual medley. At the World Championships in Istanbul, Morozov won gold in the 50- and 100-meter freestyle, and silver in the 4x100-meter medley relay. In the 50-meter freestyle, Morozov defeated Olympic champion Florent Manaudou and set the national record with a time of 20.55.