A combination washer/dryer (20) has a cabinet (12) with an opening enabling access inside the cabinet (12). A drum and tub assembly (14) is positioned within the cabinet (12). A washing circuit (40) washes items in the drum and tub assembly (14). A drying circuit (50) dries the items in the drum and tub assembly (14). A door assembly (16) includes an outer door (18) and a floating inner door (20) sealing the drum and tub assembly (14).