A medical bandage is provided, capable of being rapidly, adjustably, intuitively and universally fitted on a head, limb, stump, finger or other body part, such as to conceal and protect a wound. The medical bandage is cap-shaped and deformable, is formed of several layers, and comprises at least one port for obtaining quick access to a wound concealed by the medical bandage. When open, a port can stabilize a drainage tube, or provide a passage through which to easily and rapidly apply a medicine. The medical bandage can be directly fit on the head or other body part, providing an all-in-one dressing, wrap and treatment, and eliminating the need for cumbersome and difficult to manage gauze roll and multiple bandages of various sizes, shapes, and uses. The medical bandage can include one or more sensors for measuring or monitoring body parameters or functions.