The tissue grafting method relates to a tissue graft material, a method of preparing the material, and a method of using the material. The tissue graft material is made from the tunica serosa of the small intestine of a warm-blooded vertebrate, which has been delaminated from the tunica muscularis, tunica submucosa, and the tunica mucosa of the intestinal tissue. The tissue graft material may be perforated by discrete punctures. The tissue graft material is dehydrated by air drying or vacuum drying, sterilized with ethylene oxide, and stored in a hermetically sealed enclosure at room temperature until needed, having an indefinite storage life. When needed, the tissue graft material is rehydrated, cut to match the size of the wound, and applied to the wound. The graft may be overlaid with nylon mesh, or bandaged with an elastic tubular dressing.