Joe Takano/Orion Press/ABACA
05/10/2007 AT 05:20 PM EDT
Johnny Depp has spoken for the first time about his daughter's hospitalization earlier this year.
"It gave us a great scare," the actor, 43, tells Britain's Daily Mirror
. "It was a very bumpy patch, but she has come through it beautifully and unscathed, and she is now as healthy as she always was. She is wonderful."
Lily-Rose, Depp's 7-year-old daughter with French actress-singer Vanessa Paradis, 34, was hospitalized in London while Depp was in England filming Sweeney Todd,
although a studio rep told PEOPLE at the time: "We have adjusted the schedule to accommodate [Depp's] needs at this moment."
In early March, Depp's rep said in a statement
: "We are happy to report that their daughter is doing much better. The family greatly appreciates the continued support and respect of their privacy."
"What got us through this wasn't the strength of Vanessa or me but our daughter and her incredible ability to make us feel okay even though she was very unwell," Depp tells the Daily Mirror.
"She was super-strong." He did not disclose the cause of Lily-Rose's illness.
Depp and Paradis also have a son, Jack, 5. The actor spoke to the paper while in London promoting Pirates of the Caribbean: At World's End
Depp admits that the blockbuster film series, in which he stars as Captain Jack Sparrow, has been a boon for his career and his family.
"I was the guy who had been bouncing around the film industry for years, and I'd been lucky if five or 10 people would see my movies, so Captain Jack did a big flip for my career," he says. "[It has] afforded me and my family a certain luxury in that we are able to live a little more comfortably and it will be something that will reverberate for my kids and their kids."
He says he and Paradis have learned from the scare with Lily-Rose. "It was a reminder to us of how lucky we are," he says, "to be able to breathe, walk, talk, think and surround ourselves with people we love."