The invention relates to a coil (2) of cutting wire for a vegetation cutting machine, wherein the wire (20) is coiled on itself so as to form at least two temporarily bonded turns (21) and a central void (22), characterized in that at least a part of the innermost turn of the coil (2) is welded to the most adjacent turn.The invention also relates to a cutting assembly for a vegetation cutting machine such as a border trimmer or a brush cutter, said assembly including at least one coil (20) as described above and a cutting head (1) comprising:a body (10) defining an inner recess for the coil (2) and provided with a peripheral opening (12a, 12b) for the emergence of a length of cutting wire separated from the coil, and capable of being driven in rotation by a motor, anda central mandrel (13) for supporting said at least one coil (2), said mandrel comprising at least one arrangement (135″) adapted to cooperate with the coil (2) so as to ensure rotational engagement between the mandrel and the coil, the mandrel (13) being able to selectively rotate relative to the body (10).