A hospital type of bandage integrates an absorbent pad and non-stick layer with a fluid-impermeable outer layer and an adhesive in a single composite structure. In a preferred embodiment the invention further includes means which may be used to turn the bandage inside out upon removal, so that surfaces once contacting a patient are no longer externally exposed. A bandage according to the invertible embodiment preferably includes a pocket formed on the side of the bandage facing away from the patient after application, this pocket being large enough to accommodate at least a portion of a human hand, and inside this pocket and located opposite the entrance is a means for grasping which may be pulled outwardly through pocket opening, thereby inverting the entire structure. Various forms of devices for grasping are possible as alternatives, including a string, a tab and a tab with one or more finger-receiving holes. Means are further included for sealing the inverted structure, preferably in the form of a flap and associated adhesive.