The present invention relates to a unit comprising a conveyor device (1) for conveying slices of meat product arranged in a single layer on a permeable support surface along a path inside an enclosure (2), and an air circulation device (3) with a air moving device associated to an arrangement of conduits (9, 10, 11) provided with a plurality of inlet and outlet mouths (5, 6, 7, 8) in communication with the inside of the enclosure (2) and arranged to make two mutually parallel conditioned air currents, in opposite directions parallel to said support surface and transverse to the direction of travel of the conveyor device, pass through two respective regions of the enclosure (2) traversed by the slices along said path. The process comprises several steps for preparing a relatively tender sausage meat product, cut into slices, using said unit.
