Catheter assembly (100) having at least one lumen (150 or 160) and joined tohub (106). While the lumen inner diameter(s) remain constant from distal end(144) of the catheter (140) to proximal end (142), the outer catheter diameterincreases proximate the hub (106) providing increased resistance to kinkingduring connection and disconnection from medical apparatus. The increasedproximal catheter diameter preferably is sufficiently large to plug theproximal end of an introducer sheath through which the catheter is insertedduring patient placement, to plug the proximal sheath end and minimize bloodaspiration therethrough, and later serves to fill the vascular insertion uponcomplete catheter insertion after removal of the introducer sheath again tominimize blood aspiration through the vascular incision. The catheter may havetwo lumens (150, 160) or more, joined to respective extension tubes in hub(106).