  We examine the parameter space region of the inverse seesaw model that is
consistent with neutrino oscillation data. We focus on the correlation between
the current limits from the search of the $\mu\to e\gamma$ lepton flavor
violating decay and the non-standard effects associated with the presence of
new heavy neutrino states. Unlike what we would expect from an inverse seesaw
model, we present a structure for the neutrinos mass matrices in which the
rates of charged lepton flavor-violating processes are negligible.
Additionally, we provide a model based on symmetries for such a scenario.
