At the 2020 Summer Olympics in Tokyo, Japan, Curry raced for the U.S. Olympic swim team in the preliminary heats of the 4x100-meter freestyle relay alongside Zach Apple, Bowe Becker, and Blake Pieroni. In the final, Caeleb Dressel was substituted in his place and the relay won the gold medal. Curry was the first swimmer from the Louisiana State University athletics program, called the LSU Tigers, to win a gold medal at an Olympic Games in swimming. He was also the first swimmer from the program since the 2000 Summer Olympics to compete in the 4x100-meter freestyle relay at an Olympic Games.