The 73-year-old was taken to a Las Vegas hospital on Sept. 30, after feeling increasingly weak and suffering from shortage of breath.
After being diagnosed with the rare and potentially fatal disorder, he was transferred to Los Angeles' Cedars-Sinai Medical Center on Oct. 13 to undergo an emergency lung transplant, where doctors are awaiting a donated lung. He is said to be in a critical condition.
Goulet's third wife, Vera, says, "Our friends have been incredibly supportive through these crucial times. My Robert has given tremendous joy to the world for six decades and he is loved by many people who are praying for him.
"He is a strong, positive man, full of life. I know if he is given the transplant he will pull through this.
"There are still many unsung songs for him to sing and, in my heart, I know it is not his time to go."
Goulet began his career as a DJ in Canada, but became a Broadway sensation in the early 1960s after landing the role as Lancelot in hit musical Camelot, opposite Richard Burton and Julie Andrews. He went on to claim a Tony Award in 1968 for his role in Happy Time.
Goulet also became a regular on TV shows, with cameos in The Jackie Gleason Show, Cannon, Police Woman and Fantasy Island, and he enjoyed great success as a crooner. He also provided the voice for Wheezy the Penguin in Toy Story 2.
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