A drain system for a laundry appliance is provided. The laundry appliance may be configured as a clothes dryer having a heat exchanger to cool and condense moisture-laden air received from the laundry drum. The drain system utilizes a drain structure to catch condensate from the heat exchanger and evacuate the condensate to a sump area. A blower and blower channel moves the dry air from the heat exchanger back to the drum. To prevent negative pressure in the blower channel from moving the condensate to the sump area, an air channel between the blower channel and sump area provides air flow communication.