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  Photo: Reuters/Fred Prauser
  Johnny Depp and Girlfriend Vanessa Paradis

Johnny Depp and his longtime partner, French actress Vanessa Paradis, may be headed for a split, according to Radar Online.

The celebrity pair, who reside quietly together in France and the Hollywood Hills, have been "arguing constantly," an inside source told Radar Online.

"People around him are worried about how Johnny is doing because he and Vanessa seem so fractured right now," the source claims. "Their relationship is heading toward the end."

Depp, 48, and Paradis, 39, have two children together, but never married.

"Johnny has started reaching out to lawyers, probably to quietly discuss how to get out of the relationship," the source added. "They're not married, but they've been together for years and have kids together so it isn't as easy as just breaking up."

The very quiet pair have not responded to rumors of a break up and the two were spotted spending New Year's Eve together in Los Angeles with their family.

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"We understand that, if we want our relationship to continue, we must give each other space, allow each other to go off on our own, and trust each other," Paradis told Marie Claire in 2010. "Not everyone is lucky enough to be given space and trust.”

"I don't know how it works, but it does all work beautifully," the "Pirates of the Caribbean" star said of his family last October, Wonderwall reports. "Our family is not conventional. It's sort of symmetrical and asymmetrical and poetic and funny."

The rumors follow a recent story by Star magazine that Depp was experiencing a "mini-midlife crisis."