The present disclosure provides various embodiments of methods of forming a tapering distal tip for a catheter. An exemplary method includes providing a mandrel and a holding hypotube, placing a tip first material with a first outer diameter over the mandrel and the hypotube, placing a tip second material with a second outer diameter over the mandrel and under the first material, placing a shrink tube of heat-shrink material around at least a junction of the first material and second material, heating the shrink tube, cooling the first material and second material, and removing the shrink tube and the hypotube. The first outer diameter is greater than the second outer diameter.