Embodiments of the invention relate to a wound covering having a first strip-like element forming a first periphery and a second strip-like element that faces away from the first periphery, runs approximately parallel thereto, forming a second periphery, and is joined to the first strip-like element, there being formed between the first inner periphery of the strip-like element, facing away from the first periphery, and a second inner periphery of the second strip-like element, facing away from the second periphery, a drainage chamber, the depth of which in a depth direction extending at right angles to the periphery ensures a capillary action on bodily fluids received in the drainage chamber, in particular exudates.