A laundry appliance includes a blower for delivering process air through an airflow path that includes a rotating drum. A condensation system has a heat exchanger that dehumidifies process air within a condensing portion of the airflow path to produce a condensate. A residual condensing area of the airflow path is positioned upstream of the heat exchanger. The residual condensing area produces secondary condensate. A primary flow path delivers the condensate from the condensing portion to a sump. A secondary flow path delivers the secondary condensate from the residual condensing area to the sump.