An oven with a baking chamber includes a crossflow fan with a connected cooling air duct configured to generate a cooling air stream that is exhausted to outside the oven. A vapor exhaust duct opening is included into the cooling air duct so as to exhaust vapors from the baking chamber therethrough. The vapor exhaust duct has an opening area disposed in an immediate vicinity of an exhaust area of the crossflow fan where a suction capacity for the vapors from the vapor exhaust duct is generated at a minimum rotational speed of the fan propeller.