Some years ago Jay-Gerin and Ferradini attempted to establish a correlation between the optical absorption spectrum and the mobility of excess electrons in various polar solvents (J. Chem. Phys. 91 (1989) 3275). To explain this correlation they postulated two types of electrons, i.e., highly localized solvated electrons and so-called incompletely relaxed electrons. This was done, however, without any physical justification. According to this correlation and its interpretation just the stable ammoniated electron (surprisingly not considered by Jay-Gerin and Ferradini) should be a quite typical representative of these incompletely relaxed electrons. Therefore, we analyzed the theoretical relationship between the electron mobility and the zero-frequency absorption cross section with the aid of the experimentally observed absorption spectra. We found out that there is no support for a linear relationship between the mobility and the position of the maximum, បωmax, of the optical absorption band and that the contribution of the cross section to the electron mobility is practically zero. Therefore, the proposed correlation has no physical background. We show, however, that there exists a rough correlation between the excess electron mobility and the self-diffusion coefficient of the polar solvent. Finally we critically consider the so-called incompletely relaxed electron state and the results of quantum statistical simulations of the diffusion coefficient of solvated electrons (e Ϫ solv ).