At the 1994 Winter Olympics in Norway, Bradbury was part of the short track relay team that won Australia's first Winter Olympic medal, a bronze. They scraped into the four-team final after edging out Japan and New Zealand to finish second in their semi-final. They adopted a plan of staying on their feet as first priority, and remaining undisqualified and beating at least one of the other three finalists. During the race, the Canadians fell and lost significant time, meaning that Australia would win their first medal if they raced conservatively and avoided a crash. Late in the race, Nizielski was fighting with his American counterpart for track position for the silver medal, but took the safe option and yielded, mindful of the lost opportunity following the crash in Albertville. Thus Bradbury, Nizielski, Andrew Murtha and Kieran Hansen became Australia's first Winter Olympics medallists.