Air conditioner units and methods for providing make-up air are provided. An air conditioner unit includes an outdoor heat exchanger, an indoor heat exchanger and a bulkhead. The air conditioner unit further includes a vent aperture defined in a rear wall of the bulkhead. The air conditioner unit further includes a dehumidification system, the dehumidification system including an evaporator assembly and a condenser assembly. The evaporator assembly is configured for removing heat from outdoor air flowing therethrough. The evaporator assembly is in fluid communication with the vent aperture for flowing outdoor air from the evaporator assembly through the vent aperture. The condenser assembly is configured for adding heat to outdoor air flowing therethrough. The condenser assembly is spaced from the vent aperture for flowing outdoor air from the condenser assembly into the outdoor portion.