Polarized neutron diffraction investigations of a paramagnetic molecular dinuclear Co²⁺ complex, using the local site susceptibility method, show that the Co²⁺ ions carry opposite magnetic moments of 3.1(1) and 3.2(1) μ_B, making an angle of 37(1)° which is in agreement with the value (39°) provided by the theoretical analysis of the magnetic susceptibility using the model of effective spin ½. Polarized neutron diffraction (PND) shows that this dinuclear Co²⁺ complex behaves more like a system of two antiferromagnetically coupled ions with spin 3/2, the directions of which are imposed by the distortion axis of the octahedra around each Co²⁺ ion due to ligand field. This first application of the local susceptibility tensor method to a molecular compound demonstrates the efficiency of the PND method as a tool for exploring magnetic anisotropy in molecular paramagnets.