Johnny Depp’s 7-year-old daughter, Lily-Rose, is on the mend after a 9-day stay at a British hospital where she was battling an undisclosed illness. She left the hospital with her family at 11:30 a.m. on Thursday.

“We are happy to report that their daughter is doing much better,” Depp’s rep tells Us. “The family greatly appreciates the continued support and respect of their privacy.”

According to the U.K. publication The Sun, Depp, 43, and his partner Vanessa Paradis, 34, had been holding vigil for their daughter since she checked into the hospital a week and a half ago in “serious condition.”

The Pirates of the Caribbean star — who lives in France with Lily-Rose, Vanessa, and their four-year-old son Jack — was due to start filming Sweeney Todd in England when his daughter fell ill.

A hospital source tells The Sun: “They are worried sick — but Lily-Rose is getting the very best treatment available.”

“Johnny is deeply concerned about his daughter,” a studio source added. “As soon as he heard that she is unwell he went to her bedside. He will do anything for his kids.”

To protect the family’s privacy, publications are being asked not to publish the nature of the illness or the location of the hospital.

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