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Citing anonymous sources with "direct knowledge" of the matter, the website reported Saturday that Klum would file divorce papers in Los Angeles County Superior Court as early as next week.
The couple married in 2005 and have three children together. Seal also adopted Klum's child from a previous relationship.
Klum and Seal were famous for renewing their vows every year on their wedding anniversary, TMZ said.
Klum attended last Sunday's Golden Globes awards ceremony without Seal, the website noted.