Schipper made her debut for Australia at the 2003 World Aquatics Championships in Barcelona, winning the bronze medal as part of the 4x100 m medley relay team.
In 2004 she competed in the Athens Olympics, placing 4th in the 100 m butterfly with the time of 58.22 s. She also collected the gold medal in the 4x100 m medley relay, having swum the butterfly leg in the heats of the event.
Schipper qualified for the 100 m and 200 m butterfly events in Beijing 2008, where she is among the favourites for the medals. She is a member of the 4ÌÑ100 m medley relay squad. Schipper won two bronze medals in her individual events at the Beijing Olympics, the 100 m and 200 m butterfly. Schipper also won gold in the 4ÌÑ100 m medley relay team with teammates Leisel Jones, Libby Trickett and Emily Seebohm.