The invention relates to a steamer accessory (104) comprising a water reservoir (106) communicating with the outside via a filling orifice (160), and a steam generator (105) comprising a steam production chamber (120) connected to at least one steam distribution outlet (115) provided in a lower part (110) of the steam generator (105), the water reservoir (106) communicating with the steam production chamber (120) via a water supply inlet (121). According to the invention, the steam production chamber (120) communicates with at least one steam evacuation outlet (122) disposed higher up than the water supply inlet (121), the steam production chamber (120) being confined above the steam evacuation outlet(s) (122), the or each steam evacuation outlet (122) communicating via a duct (125) with the or one of the steam distribution outlet(s) (115). The invention also relates to an electric steamer comprising a container and a lid (103) comprising a steamer accessory (104) according to the above-mentioned features.