She didn’t want to lose herself.

During a recent appearance on “The Graham Norton Show,” Kate Winslet, 50, revealed a strange encounter she had with Eminem, 53, back in 2004.

“This is a story I’ve never, never told,” the “Titanic” actress began, explaining that she hosted “Saturday Night Live” when Eminem was the musical guest for the Oct. 30 episode that year.

“Eminem asked me to shave his bottom.”

The bizarre request happened one week after Ashlee Simpson’s infamous lip-syncing blunder on the NBC variety show.

After Norton and the crowd laughed, Norton asked, “Was it a hand-held razor?”

The Oscar-winning actress insisted, “Well, he did!”

Winslet recalled, “He said, ‘Will you shave my butt?’ and I said, ‘I’m sorry, I don’t do personal grooming.’ Like what? I’m not gonna go with

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