Ducks medical director Craig Milhouse announced their conditions on Wednesday night.
Beauchemin has been hospitalized to receive intravenous fluids, but he has improved, Milhouse says. Perry has been cleared of the disease and is free to resume working out Thursday.
Perry missed his fourth straight game, and Beauchemin sat out his second straight when the Ducks hosted the Los Angeles Kings on Wednesday night.
The Ducks don't know how the players contracted the disease, but the entire team will receive new vaccinations as a precaution. Perry and Beauchemin were vaccinated earlier in their lives, but adults' antibody levels decline with time, Milhouse says.
Perry was the NHL leader with 11 goals in 13 games before his illness.