A catheter tip assembly (50) is provided with a catheter tip (56) and an inner catheter (54). The catheter tip (56) has a tapered proximal end, an elongate center portion, and a tapered distal end. The inner catheter (54) includes a narrow proximal portion, a narrow elongate center portion (66), and a wide distal end (68). The catheter tip (56) is disposed within the wide distal end (68) of the inner catheter (54). One advantage of the catheter tip assembly is that no proximal-facing edge is formed at the transition between the narrow elongate center portion of the inner catheter and the catheter tip, which may help reduce the risk of the catheter tip snagging on a stent during use.