A bandage for use at an aggressive bleeding site of a patient is disclosed. The bandage includes a stretchable wrap, an auxiliary strap, a primary absorbent body, and at plural secondary absorbent bodies. The primary absorbent body is located on the inner surface of the wrap. The wrap is arranged to be wrapped about and tightly encircle a portion of the body of a patient at which the bleeding site is located to cause the primary absorbent body to apply pressure thereto. The auxiliary strap is secured to the wrap and is normally held in stowed position on the wrap, but arranged to be moved to an extended position whereupon the secondary absorbent bodies overlies said primary absorbent body and apply pressure thereto and to the underlying aggressive bleeding site.
