A water-conducting household appliance, in particular a dishwasher, includes a hydraulic circuit for circulation of a wash fluid, and a filter facility which includes a filter element having an inner wall and at least one filter opening for passage of the wash fluid. The filter opening is bounded by the inner wall running around the filter opening. The inner wall has an upstream wall segment and a downstream wall segment, with a gradation being formed at least in a segment between an upstream and downstream wall segment of the inner wall of the filter opening. Additionally or independently hereof, the downstream wall segment has a cross section that increases in a flow direction of the wash fluid.