A wrap for applying compression and for immobilizing a user's limb. The wrap comprises an elongated band of elastic material that is flexible so as to contour to the shape of a user's limb. The elongated band includes a plurality of semi-rigid strips arranged transversely thereon. The strips are preferably spaced from one another at a fixed interval and are parallel to one another. The elongated band includes an adhesive thereon for securing the wrap to a user's limb and for securing successive layers of the elongated band to one another when wrapped around a user's limb. In operation, the wrap can be wrapped in a spiral along the length of a user's limb in multiple layers in order to immobilize the limb, wherein the strips on successive layers are preferably oriented orthogonally to one another in order to provide rigidity to the wrap.
