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 illness and is free to resume working out Thursday.
Perry missed his fourth straight game Wednesday, a 6-5 shootout win over the rival and reigning Stanley Cup champion Los Angeles Kings, and Beauchemin sat out his second straight.
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.
Ducks' Perry, Beauchemin Diagnosed With Mumps
Scott Burnside discusses the steps the Anaheim Ducks have taken to prevent the spread of the mumps beyond Corey Perry and Francois Beauchemin, who have already been diagnosed with the disease.