Abstract: A covering cap, in particular for placing on a skin analyzer, contains an end wall bounded by a circumferential edge, and a circumferential wall adjoining the circumferential edge of the end wall. At least one part of the covering cap has a thickness that is less than a thickness of the circumferential wall in a portion of the circumferential wall that lies in the region or end of the circumferential wall remote from the end wall. The end wall is of a gas-permeable configuration.