Blanchette said the 93-year-old requested to see a priest and he administered her last rites after 10 a.m. Sunday.
Gabor was being fed through a tube, but doctors are hoping to get her to eat some solid foods on Monday.
Gabor underwent surgery at /*Ronald Reagan UCLA Medical Center*/ on Saturday to get multiple blood clots removed from her upper body. One of the clots was very close to her heart.
She had broken her hip July 17, had hip replacement surgery and had just returned home from the hospital Wednesday.
Gabor appeared in numerous films and television shows in the 1950s and 1960s, but she has been confined to a wheelchair due to a 2002 car crash. She also suffered a stroke in 2005.
The Associated Press contributed to this report.