The disclosure relates to a high-speed electric machine, having a speed higher than 20,000 rpm, including a rotor having 1 or 2 pairs of magnetized poles, and an enhanced stator which has an outer diameter that is larger than 18 millimeters and which has 3 or 6 straight teeth extending radially and borne by a one-piece peripheral annular collar. At least a portion of the teeth bear coils, and the teeth are rigidly connected to one another and together form a one-piece planar assembly. The coiled teeth have a rectangular cross-section of width I and of length L, with formula (I).