An introducer sheath for providing vascular access in a patient's body comprises a tubular body having a proximal end and a distal end, the distal end being configured to be inserted into a patient's vessel to allow a medical device to be inserted from the proximal end through the tubular body out of the distal end into the patient's vessel. The tubular body includes a recoil section that has a radial compressibility which is higher than a radial compressibility of at least a portion of the tubular body that is distal to the recoil section. This enables the patient's vessel and surrounding tissue to recoil at the puncture site, which is advantageous for the patient, e.g. with respect to wound healing.
