The integrated magnetic sensor for detecting an external
magnetic field, is formed by a body of
semiconductor material having a surface; an insulating layer covering the body of
semiconductor material; a magnetically sensitive region, for example a Hall
cell, extending inside the body; and a
concentrator of ferromagnetic material, extending on the Hall
cell and having a planar portion extending parallel to the surface of the substrate on the insulating layer. The
concentrator terminates with a tip protruding peripherally from, and transversely to, the planar portion toward the Hall
cell. When the magnetically sensitive region is a sensing coil of a fluxgate sensor, it is formed on the substrate, embedded in the insulating layer, and the tip of the
concentrator can reach as far as the sensing coil.