The interaction of an extrinsic electron with the surface optical modes of a semi-infinite medium is retrieved under the effect of a weak magnetic field. It is observed that for an electron in a bound state near the surface, the magnetic field enhances the effective phonon coupling rather prominently and thus leads to an increased degree of localisation of the electron towards the surface. This feature is seen to be more marked for larger coupling strengths. © Tübi̇tak.