Heidi Klum is still in – as host of Project Runway, that is.

Despite online reports that the supermodel is saying auf wiedersehen to Lifetime's design competition, a spokesperson for the network tells our friends over @PEOPLE, "Heidi Klum is not leaving Project Runway.

Although Klum, 38, is currently appearing as host and judge of season 9, which premiered last week, an all-star season is now filming in New York City without the German-born supermodel.

According to the rep, the all-star version of Runway "is a completely separate show, with a separate host and a separate set of judges."

No announcement has been made about who that will be.