UPDATE: Joan Rivers Is 'On The Road To Recovery,' In Stable Condition

The latest update is positive!

UPDATE: E! News is reporting that Melissa Rivers released a statement regarding her mother's condition in the early afternoon on Tuesday. We will continue to update the story as details come in...

"On behalf of my mother and our family, we are extremely grateful for all the love and support we've received," Rivers said in a statement. "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."

After a hard few days for fans of comedienne Joan Rivers (so, everybody), reports began to surface on Tuesday (Sept 2) that the icon was on the up and up after she stopped breathing during a procedure on her vocal cords last Thursday.

"It's a slow process, but she's on the road to recovery," a source told E! News, adding that Rivers' condition is currently stable. "She's getting better. Don't believe all this ridiculous speculation."

Rivers, the host of E!'s "Fashion Police," stopped breathing during the routine procedure, then was reported to be in critical condition at Mount Sinai Hospital in New York after going into cardiac arrest, according to TMZ.

Then, on Sunday (August 31), TMZ said that Rivers was "completely reliant" on life support, while other reports suggested that she was in a medically-induced coma, but still stable.

This latest report from E!'s insider is comforting, especially as it asserts the fact that Rivers' family, including her daughter Melissa, are doing well.

"She is a rock," the source said about Melissa. "She is calmer than I've ever seen her. All these reports about doomsday are not true. She is her mother's daughter and she's tough as nails. She's the person keeping everyone together."

MTV News will keep you updated as this story develops, and we send our best wishes to Joan Rivers and her family during this time.