Bikic competed in the men's 50 m freestyle, as a member of the former Yugoslavian squad, at the 2000 Summer Olympics in Sydney. He posted a FINA B-standard entry time of 23.55 from the Serbian Open in Belgrade. He challenged seven other swimmers in heat five, including three-time Olympians Allan Murray of the Bahamas and top favorite Richard Sam Bera of Indonesia. He raced to fourth place by a hundredth of a second (0.01) behind Bera in 23.57. Bikic failed to advance into the semifinals, as he placed forty-third overall in the preliminaries.