Salt-induced fast aggregation of oil-in-water nano-emulsions stabilized by the anionic surfactant sodium dodecyl sulfate was analyzed by employing dynamic and static light scattering techniques. Nano-emulsions with different ratios of dodecane/hexadecane were studied. The time evolution of the average size of all nano-emulsions collapsed in the same curve despite differences in the composition of the oil phase. A power law growing and a value of the homogeneity parameter similar to that typically found in model solid particle systems in diffusive aggregation regime were found. A value of 2.4 was estimated for the effective fractal dimension both from the scaling of scattered intensity with scattering wave vector modulus and from the kinetic scaling. This result indicates that the aggregates are more compact structures compared with model solid systems. It can be explained as a result of the effect of polydispersity in the primary droplet size and the coalescence events that occur inside the aggregates.