A blunt cannula (10) includes a distal portion (12) and a proximal portion (14). The distal portion (14) has a non-uniform taper defined by a plurality, such as four, differently tapered segments (22, 24, 26, 28). The proximal portion (12) may additionally or alternatively have a non-circular, such as oval, cross-section. At least the major diameter (D MAJ ) of the proximal portion (12) may taper toward the distal portion (14).