Abstract: The present invention concerns a contact module (10) operating with three fluids, air, coolant fluid and desiccant solution, with hydrophobic tubular membranes for the dehumidification and/or cooling of process air, said contact module comprising plurality of conduits (1) for the refrigerant fluid, in particular typically frigorific evaporating fluid, the contact module being characterized in that:—the space between said plurality of conduits (1) is substantially filled with a plurality of capillary pipes (2) in hydrophobic micro-porous membrane whose lumen is suitable to be crossed by and whose main extension direction is perpendicular to said plurality of conduits (1);—on the two opposite surfaces of the contact module at the ends of said plurality of capillary pipes, one or more closing material layers, in particular of hardening resin, are disposed, for incorporating the end parts of said plurality of capillary pipes and sealing the thus created space between said plurality of capillary pipes, said space