A method for making a hemocompatible material comprising a resistant and impervious synthetic substrate and an animal biological tissue, chemically fixed so as to avoid immunological reactions, such a method wherein said animal tissue is dehydrated, said dehydrated animal biological tissue is glued on said synthetic substrate through a dispersion of the constituent material of said synthetic substrate in a solvent so that said constituent material impregnates said animal biological tissue and then said solvent is removed,characterized In that the dehydration is only obtained by a chemical way through the immersion of said animal biological tissue in a bath made of a solution of polyethylene glycol at at least 80% in weight.
