A connector is described which includes a valve housing comprising avalve housing base and a valve cap, the valve housing defining an inlet port,and anoutlet port, the valve housing further including a fluid path from the inletport to theoutlet port, the fluid path including a channel formed in an inner wall of thevalvehousing. A valve insert in the valve housing defines a bowl sealed by adiaphragm,such that the sealed bowl forms an inner volume in the valve housing. A valveplugoperable seals the inlet port when the connector is in an unactuated statethereby closingthe fluid path through the connector. Upon actuation of the connector thevalveplug deforms the diaphragm into the inner volume thereby unsealing the inletportand opening the fluid path through the connector. Because of the arrangementof thevalve plug, valve insert and diaphragm, the connector has a low priming volumeandhas positive fluid displacement characteristics upon actuation.