A dishwashing machine having a drying system, the machine comprising a basement and a washing tub supported by the basement, wherein the basement defines a housing space for housing operating components of the machine, wherein the tub has a lower wall, an upper wall, and side walls (3c-3e), and wherein the drying system comprises: - an inlet for introducing drying air into the tub; - an outlet for evacuating damp air from the tub; - a condenser device, having a hollow body provided with a respective inlet, in fluid communication with the outlet for the damp air, and a respective outlet, in fluid communication with the environment external to the tub, the condenser device having a first portion that generally faces a side wall of the tub and that defines a condensation path for the damp air leaving the tub; - a fan, comprising a fan casing housed in which is an impeller driven by a corresponding motor, the fan casing being mounted in the housing space of the basement and having an intake mouth and a delivery branch; and - means for heating the drying air, operatively arranged along a first conduit that connects the delivery branch of the fan casing to the inlet for the drying air, characterized in that: - the inlet for the drying air includes a chimney that extends through the lower wall of the tub and has an upper end and a lower end, which open on opposite sides of said lower wall, at the upper end there being associated a chimney cap defining a substantially labyrinth-path and at the lower end there being coupled an outlet end of the first conduit; - the outlet for the damp air is defined in the upper wall of the tub; - the condenser device comprises a second portion, which generally faces the upper wall of the tub and extends between the outlet for the damp air and an upper region of the first portion of the condenser device. - an inlet for introducing drying air into the tub; - an outlet for evacuating damp air from the tub; - a condenser device, having a hollow body provided with a respective inlet, in fluid communication with the outlet for the damp air, and a respective outlet, in fluid communication with the environment external to the tub, the condenser device having a first portion that generally faces a side wall of the tub and that defines a condensation path for the damp air leaving the tub; - a fan, comprising a fan casing housed in which is an impeller driven by a corresponding motor, the fan casing being mounted in the housing space of the basement and having an intake mouth and a delivery branch; and - means for heating the drying air, operatively arranged along a first conduit that connects the delivery branch of the fan casing to the inlet for the drying air, characterized in that: - the inlet for the drying air includes a chimney that extends through the lower wall of the tub and has an upper end and a lower end, which open on opposite sides of said lower wall, at the upper end there being associated a chimney cap defining a substantially labyrinth-path and at the lower end there being coupled an outlet end of the first conduit; - the outlet for the damp air is defined in the upper wall of the tub; - the condenser device comprises a second portion, which generally faces the upper wall of the tub and extends between the outlet for the damp air and an upper region of the first portion of the condenser device. - the inlet for the drying air includes a chimney that extends through the lower wall of the tub and has an upper end and a lower end, which open on opposite sides of said lower wall, at the upper end there being associated a chimney cap defining a substantially labyrinth-path and at the lower end there being coupled an outlet end of the first conduit; - the outlet for the damp air is defined in the upper wall of the tub; - the condenser device comprises a second portion, which generally faces the upper wall of the tub and extends between the outlet for the damp air and an upper region of the first portion of the condenser device.