A method of creating a CPAP mask assembly, that makes use of a CPAP mask, including a rigid portion adapted to connect to an air-delivery hose and to provide structure and a pliable, soft, face-contacting portion, supported by the rigid portion. Also utilized is a mask cover, having an annular piece of bio-compatible, absorbent material, having an outer edge and an inner edge that defines a plain opening and an elastic loop attached about the outer edge, thereby causing the outer edge to retract inwardly. The elastic loop is then placed over the mask so that the material covers the face-contacting portion and the opening is positioned centrally. Then the elastic loop is released, permitting it to retract inwardly so that part of the rigid portion is interposed between the elastic loop and the inner edge, thereby retaining the mask cover about the rigid portion of the mask, without deforming the face-contacting portion.