Packaging sleeve for medical purposes for storing sterile objects (25, 45), consisting of at least one outer sleeve (2) that is open at one end and can be sealed with a sealing closure (10) and has an inner sleeve (12) accommodated in it with a clamping effect, wherein the inner sleeve (12) is accommodated in a clamping seating in a receiving opening (15) in the sealing closure (10) on the bottom side of the outer sleeve (2) and the clamping seat thereby formed presses the sealing ribs (7, 55, 56, 59) arranged on the outside circumference of the sealing closure (10) against the inside of the outer sleeve (2) under increased contact pressure (FIG. 1).