Aprotic electrolytic composition for electrochemical generator, said generator including a separator and at least one opposite electrode, said composite electrode containing a powder of inactive material for the electrode and, if necessary, an electronic conduction additive, said aprotic electrolytic composition being localized in the separator and in at least said composite electrode, characterized in that it comprises a first polymer matrix consisting of a polyether and at least one second polymer matrix, which are macroscopically separated, and in that it also comprises at least one alkali metal salt, as well as at least one polar aprotic solvent, said matrices being swellable by at least one said polar aprotic solvent, said solvent or mixture of solvents being unequally distributed between the matrices.