A catheter introducer includes a tube having a proximal end, a distal end and a lumen extending therethrough along a longitudinal axis of the tube for accommodating a catheter traveling along a longitudinal axis of the tube and a head portion coupled to the distal end of the tube. The head portion includes an aperture in fluid communication with the lumen at a proximal end thereof and a tip at a distal end thereof, an exterior surface extending from the proximal end thereof to an opening of the head portion along a first portion of the head portion and extending from the proximal end thereof to the tip along an opposing portion of the head portion and an interior surface extending from the aperture to the opening of the head portion along the first portion of the head portion and extending from the aperture toward the tip along the opposing portion of the head portion. The exterior surface circumferentially tapers from the proximal end to the distal end and the interior surface forms a channel for receiving a catheter passing through the lumen and the aperture, the channel being concave along at least one axis.