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.