Abstract: Process for making a sock of the type with two layers. A first course knitted by the needles, and corresponding to the end of the tip of a first layer, is transferred onto the central transfer plate of the machine where it is maintained in standby. Knitting of the first layer is continued, from the tip to the mock-rib edges. Then knitting is continued from the mock-rib edges of the second layer up to the tip, the knitted tubular structure being constantly suspended, by one (circular) end, from the central transfer plate and, by the other circular end, from the needle cylinder in the course of work, thus shaping the two concentric layers engaged in one another. The initial course in standby on the plate is transferred to the needles of the cylinder to effect join of the two layers to form one sole terminal layer.