Abstract: Apparatus (20) for sheathing an endoscope (22) includes a dispenser (24), having entry and exit ports (36, 39) defining a transit passage through which the endoscope may pass, and a flexible sleeve (26), at least a portion of which is bunched in a vicinity of the dispenser. The sleeve includes a distal end (28), which is closed, and a proximal end, which is open and fixed to the dispenser so that as the endoscope is advanced in a distal direction through the transit passage, the endoscope enters into the sleeve through the proximal end and engages the distal end of the sleeve, thus causing the bunched portion of the sleeve to be extended so as to cover a distal part of the endoscope that protrudes through the exit port.