Bag to form an implantable artificial organ comprising a closed envelope (13) and made of a semipermeable membrane (131, 132), characterized in that it comprises a layer (14) contained within the envelope (13), comprising the layer (14) , on its surface, protuberances (14) in order to maintain a space for the cells between the layer (14) and the envelope (13), the layer (14) and the protuberances (141) being made in one piece by molding of an elastomeric material.Bolsa para formar un órgano artificial implantable que comprende una envoltura (13) cerrada y realizada de una membrana (131, 132) semipermeable, caracterizada porque comprende una capa (14) contenida dentro de la envoltura (13), comprendiendo la capa (14), en su superficie, protuberancias (14) con el fin de mantener un espacio para las células entre la capa (14) y la envoltura (13), estando fabricadas la capa (14) y las protuberancias (141) de una sola pieza por moldeo de un material elastómero.