In order to determine the mechanism of the high ionic conductivity of inverse spinel-type Li2MnCl4, quasielastic neutron scattering measurements (incident wavelength 0.418 nm) of a (Li2MnCl4)-Li-7 single crystal as a function of temperature (360; 428 and 552 K), and momentum transfer Q have been performed. The observed quasielastic intensity depends on temperature but hardly not on Q within the accessible range from 3.0 to 19.5 nm(-1). In particular, there is no indication fbr anisotropic behaviour. The data is interpreted as local motion of the Lithium ions. The long-range translational motion of lithium ions causing the ionic conductivity takes place on a much longer time-scale and cannot be resolved under the present experimental conditions.