The effect of energy dissipation on the electron solvation dynamics is studied within the framework of the cavitation model. Two different energy dissipation mechanisms, associated with the sound emission and viscous friction, are analysed. The radiational damping of the cavity boundary dynamics is described using the Herring equation. The model is applied to analysis of the electron solvation dynamics in water. Sound emission constitutes the most efficient mechanism of energy dissipation. Energy dissipation does not change the theoretical prediction concerning the small isotope effect on the electron solvation dynamics in water.