Ex vivo or in vitro procedure for the maintenance of in vitro or ex vivo survival and the transport of skin biopsy, said skin biopsy comprising at least the epidermis, the dermis and the epidermal annexes, said biopsy having been previously extracted from a mammal , said procedure comprising the following steps: a) the deposit of said skin biopsy on a liquid matrix capable of solidifying under the action of an increase or decrease in temperature and / or by the addition of a compound or a specific composition so that the superficial part of said biopsy corresponding to the entire epidermis remains emerged while the dermis underlying this epidermis is completely submerged, choosing said liquid matrix capable of being able to solidify between blood plasma or a solution derived from blood plasma diluted in physiological buffer up to a maximum of 10%, a fibrin solution oxygen, a solution of collagen, gelatin, synthetic polymer gels, natural agarose gels or low melting-point agar-gels, starch or polysaccharide gels, or a mixture thereof, said liquid matrix being contained, capable of being able to solidifying, in an insert whose bottom is constituted by a porous membrane, and said insert being arranged in a container or well; and b) the solidification of said liquid matrix capable of solidifying induced by an increase or decrease in temperature and / or by the addition of a specific compound or composition, this solidification having the effect of trapping the submerged part of said biopsy of skin in said thus solidified matrix, and causing said solidified matrix to adhere to the lateral walls and to said porous membrane of the insert, and said epidermal surface part of the biopsy being in contact, which remains emerged with atmospheric air or under an atmosphere controlled which comprises in part air.Procedimiento ex vivo o in vitro para el mantenimiento de la supervivencia in vitro o ex vivo y el transporte de biopsia de piel, comprendiendo dicha biopsia de piel al men