A needleless injection port assembly includes first and second body parts and a resilient barrier received within the body. A cannula attached to the first body part is received within an internal cavity of the resilient barrier. The resilient barrier is moveable between a less axially compressed first position in which fluid flow through the injection port assembly is prevented and a more axially compressed second position in which fluid flow through the assembly is allowed. An interference fit is provided between the resilient barrier and the cannula to seal against fluid flow through the cannula when the resilient barrier is in the first position. The cannula has an internal fluid passageway with a non-circular cross section providing increased fluid flow.