Producing a hemocompatible material having a synthetic, resistant and waterproof substrate, and an animal tissue, chemically fixed to avoid immunological reactions, comprises drying the tissue, adhering the tissue on the substrate using a dispersion of the constituent material of the substrate in a solvent of material, and eliminating the solvent, where the dehydration is obtained only by chemical immersion of the animal biological tissue in a bath constituted of polyethylene glycol solution of at least 80 wt.%. Producing a hemocompatible material comprising a synthetic, resistant and waterproof substrate, and an animal tissue, chemically fixed to avoid immunological reactions, comprises drying the animal tissue, adhering the dried animal tissue on the synthetic substrate using a dispersion of the constituent material of the synthetic substrate in a solvent of material so that the constituent material impregnates the animal tissue, and eliminating the solvent, where the dehydration is obtained only by chemical immersion of the animal biological tissue in a bath constituted of polyethylene glycol solution of at least 80 wt.%.