In one aspect, an apparatus for promoting hemostasis includes oxidized cellulose in the form of a compressible, shapeable mass that is formed into a sheet for placement on a bleed site. In a second aspect, a sleeve for promoting hemostasis includes a tubular shell having at least one open end and oxidized cellulose material attached to an inner surface of the tubular shell. The open end of the tubular shell is dimensioned to receive a limb such that donning the sleeve causes at least a portion of the oxidized cellulose material to be placed in contact with a bleeding wound. In a third aspect, a bandage includes a substrate and oxidized cellulose material attached to a surface of the substrate. The oxidized cellulose material is arranged to contact a bleeding wound when the bandage is applied thereto.