The polarization change of high-energy muons due to their collision with electrons was calculated. The results obtained were then used to estimate the depolarization contribution originating from muon-electron scattering to the total depolarization occurring when muons pass a layer of matter. An inference was drawn that the contribution to muon depolarization arising from collisions with atomic electrons is Z times smaller than the depolarization caused by Coulomb scattering. (J.R.D.)