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 a 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 needle cannula tip toward the axial perforation as a needle cannula associated with the needle cannula tip is introduced into the access port.