Taylor, 78, was admitted to Cedars-Sinai Medical center earlier this week for symptoms caused by congestive heart failure, an ongoing condition she disclosed in 2004.
"This issue is being addressed," her rep said in a statement. "She is currently being kept in the hospital for monitoring. Her family and close friends are appreciative of the warm support and interest of her loyal fans, but have asked that people respect her privacy and allow her medical team the time and space to focus on restoring her back to health."
The two-time Oscar-winning actress underwent heart surgery in 2009, following a long history of medical problems, including using a wheelchair in recent years because of scoliosis, and undergoing surgery to have a brain tumor removed in 1997. She was also hospitalized in 2008 for an undisclosed ailment.