Joan Rivers

Brian Bowen Smith/E!

Joan Rivers remains on life support but is resting more comfortably today.

"My mother has been moved out of intensive care and into a private room where she is being kept comfortable," Melissa Rivers said in a statement Wednesday. "Thank you for your continued support."

The health update on Joan comes one day after Melissa spoke out to thank fans for the continued support and well wishes for her mother. "On behalf of my mother and our family, we are extremely grateful for all the love and support we've received," Melissa said Tuesday. "At this time she does remain on life support. I know my mother would be overwhelmed by the continued outpouring of kindness and I want to thank everyone for keeping us in their prayers."

The 81-year-old legendary comedian and Fashion Police host has been hospitalized since last Thursday after she stopped breathing during a minor throat procedure in NYC. She was then rushed to a nearby hospital where she was placed in a medically induced coma.

Melissa and her son Cooper have been by Joan's hospital bedside since the tragic news broke.

While Joan remains on life support, a source recently told E! News that "everyone is hopeful and taking it day by day."

—Reporting by Ken Baker

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