The 51-year-old Vargas has been struggling with alcoholism for years. She spent several weeks in rehab last fall and is in the midst of a divorce with husband and songwriter Marc Cohen.
"I am an alcoholic," she said. "It took me a long time to admit that to myself. It took me a long time to admit it to my family, but I am. The amount of energy I expended keeping that secret and keeping this problem hidden from view was exhausting."