A bandage for autolytic debridement includes a fluid-impermeable enclosure having a sidewall forming a margin defining an opening, and a skin-facing surface that surrounds the opening. An attachment means is disposed on the skin-facing to attach the enclosure to the skin, with the margin extending outside of and surrounding at least the bed of a wound. When the enclosure is attached to the skin it creates a closed, fluid-impermeable chamber over a wound, substantially without contacting the wound. The bandage includes a fluid absorbent material disposed in the fluid-impermeable enclosure at or near the continuous margin, and out of the opening. The fluid absorbent material is thus positioned to receive and retain exudated fluid that originates in the wound, thereby by promoting autolytic debridement. The closed, fluid-impermeable chamber maintains a near-100% humid atmosphere about the wound, thereby promoting healing of the wound. The humid atmosphere and the structure of the bandage tend to maintain the temperature of the atmosphere about the wound at or near a normothermic level in the range of about 36° C. to about 38° C., thereby maintaining physiologic processes that drive autolytic debridement and wound healing.