In the 2013 World Championships in Budapest, Kovalev made his way to the semi-finals, where he defeated Áron Szilágyi. He then met teammate Veniamin Reshetnikov, who prevailed 15–13, dooming Kovalev to a silver medal. In the team event, Russia prevailed over reigning Olympic champion South Korea, then defeated Romania to take the gold medal. During the event Kovalev was also elected a member of the International Fencing Federation's athlete commission.