An analytical approach to assessing the contribution to the resistivity of metal-matrix composites resulting from electrons scattering from the surface of the embedded phase is described. Results are presented for conduction along the fiber axis which do not imply any substantial enhancement of resistivity at low temperature, contrary to earlier predictions (but consistent with recent experiments). The scattering effect on conduction transverse to the fiber axis is investigated using an extension of the model originally proposed by Rayleigh. The magnitude of the scattering correction is found to be comparable to that in the longitudinal orientation, and does not account for the abnormally high transverse resistivity reported for B-Al composites containing 60% boron fiber by volume. A possible explanation and remedy for the discrepancy is discussed.