Theoretical analysis of transient electroluminescence in thin organic films controlled by non-equilibrium charge transport is carried out including space-charge effects. Results are compared with experimental data for a 100-nm-thick film of a phenylenevinylene co-polymer. Normalized transients are highly dispersive and universal at the initial time interval, which is considered as a manifestation of the non-equilibrium field-assisted dispersion of holes. Transit time is the half-rise time rather than the delay time.