This document describes a patent for an improved machine for winding tobacco leaves. The machine has a rolling table and rolling apron that delivers a wound tobacco product directly to a support located at the edge of the table. The support has a suction nozzle connected to suction means that retains the product on the support when the apron is retracted, in order to prevent the product from sticking to or dropping from the retracting apron. The machine cuts the ends of the tobacco product before delivering it to a second receiver for further processing.