A dispensing structure is provided for discharging the contents from the interior of a container. The structure includes a body for extending from the container. The body defines a dispensing opening and a sealing surface around the dispensing opening. A lid is provided for movement between open and closed positions. The lid has a frame defining a lid dispensing passage through the lid. The lid has a mounting flange extending inwardly adjacent the dispensing passage, and the lid has a valve mounted to the lid flange across the dispensing passage. The flexible valve has self-sealing slits which open to permit flow therethrough in response to increased pressure on the side of the valve facing the container when the lid is closed. The valve has a lower flange which is below the lid flange and which sealingly engages the body sealing surface when the lid is in the closed position.