An access port for the introduction of a needle cannula tip into an IV tube set includes a rigid tubular housing and a resilient member disposed adjacent an inlet of the housing. The resilient member includes an axial perforation extending through the resilient member, and is normally closed by the resilient character of the resilient member. A depression is defined in a proximal face of the resilient member, and includes sidewalls extending between the proximal face and the axial perforation to guide the tip of the cannulated needle toward the perforation as the cannulated needle is introduced into the access port.