A valve assembly for vascular access, comprising a body defining a lumen adapted for flowing blood, the body including a luer housing for connection with a first blood conduit and a barb housing for connection with a second blood conduit and a plurality of slitted membranes disposed within the body portion, each of the slitted membranes generating a partial pressure drop for flow therethrough, each of the partial pressure drops being smaller than a total pressure drop for flow through the body portion.
