Conger represented the United States in the 2016 Olympics in Rio, having qualified in the U.S. Olympic Trials winning bronze in the 200 meter freestyle. At the Olympics, Conger swam in the heats of the 4 × 200 meter freestyle relay and secured qualification for the final with a fast last 50 meter split of 26.83. Although Conger posted the fastest split time of the American team in the heats, he was left off the team that swam the final. The team went on to win the final, also earning Conger a gold medal.