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 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.