A fluid flow connector including a housing assembly, having a first end and a second end arranged along a common longitudinal axis, and a resilient fluid flow conduit member having a forward end, disposed alongside the first end of the housing assembly, formed with a selectably closable slit and with at least one side opening. The resilient fluid flow conduit member is positionable in a closed position wherein the slit is closed but the at least one side opening is open and in an open position, allowing the slit to open and leaving the at least one side opening open, whereby when the resilient fluid flow conduit member is in the open position, the selectably closable slit and the at least one side opening each provide a fluid flow pathway between an interior of the resilient fluid flow conduit member and the first end of the housing assembly.