"Minnelli, who has been dancing on stage since she was a teenager, is 63," the rep says. "She is expected to make a full recovery."
The legendary entertainer's album Liza's at the Palace, the original cast recording from her Tony-winning Broadway engagement, is nominated for best traditional pop vocal album. A DVD of the show is out Feb. 2.
Watch the 52nd Annual Grammy Awards on Jan. 31 at 8 p.m. ET/PT, live on CBS – and catch up on all the news and style from the show on PEOPLE.com!