A vascular introducer for accessing a circulatory system of a patient includes a sheath and a dilator. The sheath includes a fitting attached at a proximal end, and includes a liner that is longer than a core tube. A proximal segment of the liner is attached to an inner surface of the core tube, but a distal segment of the liner is everted to cover an outer surface of a distal segment of the core tube. The dilator is positioned in the sheath and includes a tapered distal segment that extends beyond a distal end of the sheath. A handle is attached to the proximal end of the dilator and extends proximally from the fitting. During a procedure, a blood vessel may constrict and grip the sheath. During withdrawal of the sheath, the core tube is slid within a first portion of the everted distal segment of the liner while another portion of the liner is de-everting.
