Current transducer comprising a section of a primary conductor and a magnetic field gradient sensor mounted in proximity to the primary conductor configured to measure a magnetic field gradient in a gradient measurement direction transverse to a direction of flow of a primary current flowing in the primary conductor. The current transducer further comprises a first lateral magnetic shim mounted adjacent a first outer side of the primary conductor, and a second lateral magnetic shim mounted adjacent a second outer side of the primary conductor, a major internal surface of the first and second magnetic shims facing the magnetic field gradient sensor and extending essentially parallel to the direction of flow of the primary current.