A skin dressing comprises a first dressing component (16) carrying oxidoreductase enzyme in dried condition; and a second dressing component (18) carrying a source of water, such that when the first and second dressing components are placed in fluid communication with each other, water migrates from the second component towards the first comportent and acts to hydrate enzyme carried by the first component, at least at the surface of the first component. The dressing components are kept separate before use, e.g. being sealed in separate sterile, water-impervious packages such as laminated aluminum foil pouches. In use of the dressing, the second dressing component is located on the skin of a human or animal, e.g. over a wound to be treated or on a region of skin to be treated for cosmetic or therapeutic purposes such as for treatment of acne or other skin conditions. The first dressing component is placed on top of the second component in fluid communication therewith. In embodiments comprising only first and second dressing components, the first dressing component is placed in direct contact with the second dressing component. Water from the second component migrates towards the first comportent and acts to hydrate enzyme carried by the first component, at least at points of contact at the interface between the first and second components. Once hydrated, the oxidoreductase enzyme can immediately begin functioning in known manner with beneficial effects.