The present invention relates to a prosthesis comprising one or more bioabsorbable substances insolubilized and/or immobilized in place by a physical method which excludes chemical reagents. A growth factor can be bound to the bioabsorbable substance for simulating growth of, for example, fibroblast and endothelial cells, around and into the prosthesis. The invention can include a porous fabric substrate having the bioabsorbable substance(s) insolubilized and immobilized therewithin by one or more of the physical methods. The physical method can include entanglement, dry-up, thermal crosslinkng, gamma irradiation, ultraviolet irradiation, or swelling up by hyper hydration with electric charge. The invention excludes the use of conventional chemical reagents, such as glutaraldehyde or formaldehyde, which are toxic. Since the invention does not use the chemical reagents of the prior art, it can avoid the toxicity and foreign body reaction problems associated therewith. The prosthesis of the invention does not have blood leakage and provides an excellent antithrombogenicity by rapid completion of neointima formation with endothelial cell lining at an early stage after implantation.