  We report the enhancement of the effect of transverse localization of light
(TL) in presence of a weak longitudinal modulation of refractive index in
disordered waveguide lattices. In our chosen lattices, tunneling inhibition
along length favors to achieve the diffraction-free propagation along with the
simultaneous presence of transverse disorder. Results will be useful to tune
the threshold value of disorder to achieve localized light.
