A suction line (8) for a vacuum wound treatment device (2) has a first (14) and second suction line section (16) connected together by a first connector part (18) borne on the first suction line section (14) and a second connector part (20) borne on the second line section (16). A connector part (18) has a valve device (40, 41) with a valve body (42, 43) that closes the flow cross-section of a connector part (18) in the uncoupled state of the connector parts (18, 20) and which is structured to completely open a smallest flow-cross-section (54, 56) when a line section (44, 46) of one connector part (20), which forms a flow channel (26, 28), moves against and displaces the valve body (42, 43) during assembly of the connector parts (18, 20).