An access port for introduction of a cannulated needle tip into an IV tube set includes a rigid tubular housing and a resilient member disposed within an inlet of the housing. The resilient member includes a proximal face exposed to an exterior of the rigid housing and a distal face disposed within the rigid housing. An axial perforation extends through the resilient member, and is normally closed by a resilient character of the resilient member. A depression is defined in the 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.