Aqueous dispersions of cetyltrimethylammonium 3-hydroxynaphthalene-2-carboxylate (CTAHNC) present vesicles at low temperature. An increase in temperature and/or the addition of cetyltrimethylammonium bromide (CTAB) induces a vesicle to micelle transition, Using small-angle neutron scattering (SANS) we investigate the vesicle to micelle transition that seems also to be induced by shear in those systems. Pure CTAHNC and mixtures of CTAHNC and CTAB were considered. At low temperature and in the absence of CTAB, the scattering at small angles present, in a large scattering vector range, the characteristic similar to q(-2) dependence, due to the scattering of almost flat surfaces (vesicles), When the system is subjected to shear, the scattered intensity decreases in both directions, i.e. parallel and perpendicular to the shear flow, while a maximum at a finite scattering vector develops in the perpendicular direction. It is suggested that the intensity decrease in both directions with respect to the shear is due to the disruption of the vesicles while the maximum is associated with the correlation between cylindrical micelles which are formed by the shear, In the presence of small quantities of CTAB, the system is composed of a mixture of vesicles and cylindrical micelles, When the system is subjected to shear, the maximum position displaces toward higher values of the scattering vector in the direction perpendicular to the flow. The dependence of the maximum position as a function of the shear rate, that is, the vesicle to micelle conversion ratio, is determined.