A kit for obtaining a carpet of brushes on a table of a machine for the automatic cutting of fabrics , comprising: - a plurality of brushes placeable side by side so as to form a carpet of brushes, each brush comprising a base , a plurality of bristles that extend from said base and that form, with their respective upper ends, a bristle plane (α) for supporting fabrics to be cut, and table coupling means suitable to connect to brush support elements provided on the table of the machine , wherein in the base is further formed a plurality of base holes extending parallel to the bristles and which are open at least at the upper end facing the bristles; and - a plurality of needles (22; 220) for locking the fabric, each needle (22; 220) having a lower point (22a; 220a) and an upper point (22b; 220b), the lower point (22a; 220a) being suitable to be inserted with shape and/or force coupling in at least one portion of a base hole so that the needle is rigidly supported by the base , the upper point (22b; 220b) protruding vertically from the plurality of bristles when the needle (22; 220) is inserted in the brush so as to pierce a plurality of overlapping fabrics or plies positioned on the bristle plane, wherein each base hole has an open upper portion , for example cylindrical, and a lower portion (20") that forms an abutment surface for a needle inserted in the base hole, the kit being characterized in that the lower portion (20") of the base hole has a conical shape with a cross-section decreasing downwards, and wherein the lower point (22a; 220a) of the needle has a conical shape suitable to obtain a shape and/or force coupling with said lower portion (20") of the base hole . - a plurality of brushes placeable side by side so as to form a carpet of brushes, each brush comprising a base , a plurality of bristles that extend from said base and that form, with their respective upper ends, a bristle plane (α) for supporting fabrics to be cut, and table coupling means suitable to connect to brush support elements provided on the table of the machine , wherein in the base is further formed a plurality of base holes extending parallel to the bristles and which are open at least at the upper end facing the bristles; and - a plurality of needles (22; 220) for locking the fabric, each needle (22; 220) having a lower point (22a; 220a) and an upper point (22b; 220b), the lower point (22a; 220a) being suitable to be inserted with shape and/or force coupling in at least one portion of a base hole so that the needle is rigidly supported by the base , the upper point (22b; 220b) protruding vertically from the plurality of bristles when the needle (22; 220) is inserted in the brush so as to pierce a plurality of overlapping fabrics or plies positioned on the bristle plane, wherein each base hole has an open upper portion , for example cylindrical, and a lower portion (20") that forms an abutment surface for a needle inserted in the base hole, the kit being characterized in that the lower portion (20") of the base hole has a conical shape with a cross-section decreasing downwards, and wherein the lower point (22a; 220a) of the needle has a conical shape suitable to obtain a shape and/or force coupling with said lower portion (20") of the base hole . <EOS>