The 69-year-old singer thinks the "Monuments Men" star is "terribly handsome" and she is delighted that he is also a very nice person, reported Hello! magazine.
Asked who she has a crush on, she said, "George Clooney. He's also terribly handsome. I know him a little and he's every bit as nice as he seems."
When she was younger, Liza - the daughter of director Vincente Minnelli and Judy Garland - had a crush on George Hamilton but as they have grown older, they have developed a strong friendship.
"I thought he was so handsome, so witty, he still is. After school, I'd go to the MGM set and watch him. He's remained a great friend of mine.