A surgical access device comprises an elongate shaft with a bladeless tip at the distal end. The bladeless tip has an outer surface with a proximal portion, a distal portion, and an intermediate portion. In a cross section in the proximal portion, the outer surface defines a circle. In a cross section in the intermediate portion, the outer surface defines a shape having a length greater than a width. The outer surface has first and second opposing surface portions of the shape that are generally aligned with the length. In a cross section in the distal portion, the outer surface defines a circle. In progressive proximal cross sections in the distal portion, the circle expands. In progressive proximal cross sections in the intermediate portion, a ratio of the width of the shape to the length of the shape increases and the first and second opposing surface portions are more arcuate.