The top cover (2) is intended to be arranged on the appliance (1) to constitute the upper part thereof. It comprises a housing (3) having a front side; a recess (5) formed in said housing (3) and open towards said front side; an extractable body (6) received in said recess (5) and at least partly extractable therefrom in a sliding extraction movement in a direction (A) at right angles to said front side of the top cover housing (3); an ironing board (7) arranged on said extractable body (6) such as to be movable with respect to said body (6) between a storage position and at least one working position; and anchoring means (8) to anchor said ironing board (7) to said extractable body (6). The anchoring means (8) are such as to allow the ironing board (7) to be positioned in a plurality of horizontal working positions, at different angles. It allows an ironing to be stored board safely and without taking up any otherwise useful space, and allows its deployment to a working position in a practical manner.