A household cooking appliance, in particular an oven, comprises a cooking chamber defined by a muffle having a flue with a fume outlet at an upper wall of the muffle, and a front door, for opening and closing the cooking chamber. The appliance further comprises a delivery channel, defined by a duct body that extends above the upper wall of the muffle, the duct body having an outlet of the delivery channel that is substantially at a front region of the appliance, above an upper portion of the door, and having a fume inlet in a lower wall of the duct body, which is in fluid communication with the fume outlet of the muffle and with the delivery channel.