updated 01/21/2012 AT 12:00 PM ET
•originally published 01/21/2012 AT 1:25 PM ET
Seal and Heidi Klum are not headed for divorce court just yet, a source close to them tells PEOPLE.
Contrary to reports that surfaced Saturday, “They’ve been fighting a lot lately, but they have no plans to announce a split right now,” the source says. “They’re not divorcing.”
But they have been weathering a rough patch.
According to the insider, in recent months, distance has tested the famously lovey-dovey pair.