The couple have confirmed that they have, in fact, been separated for months:

“In light of continuous speculation over the lives and marriage of Tea Leoni and David Duchovny, the couple has confirmed that they have in fact been separated for several months,” the statement says. “The couple had hoped to keep this separation private for the sake of their children.”

David just recently finished up his stint in rehab for sexual addiction.

The couple had been married since 1997.

Source