The invention relates to a wound drainage covering for covering, by means of low pressure, a wound that is to be treated. The covering comprises at least two layers that are superimposed. A first layer that is applied on the side of the wound is made of a functional textile material and second layer that is arranged thereon is dimensionally stable and permeable to liquid. The wound drainage covering has a simple design and due to the functional first layer, is effective and ensures, due to the dimensionally stable second layer, an optimal removal of wound secretion.