A self-sealing valve comprises a valve housing having a fluid conduit, a valve seat, a diaphragm and an attachment member. The valve housing is configured to pass fluid through the fluid conduit. The diaphragm provides a seal of the fluid conduit. The attachment member is configured to attach portion of the diaphragm to the valve housing. The attachment member and diaphragm are configured to position the flexible diaphragm against the valve seat to seal the fluid conduit in a closed position of the self-sealing valve, and to facilitate pivotal movement of the diaphragm under a bias in a first direction away from the valve seat to an open position.