  We carry out an exhaustive analysis of lepton flavor violating processes
within the Simplest Little Higgs model. Its discovery could be expected from
either $\mu\to e$ conversion in nuclei, $\mu\to e\gamma$ or $\mu\to3e$ decays.
Then, the tau sector could help discriminating this model not only via
$\tau\to\ell\gamma$ ($\ell=\mu,e$) and $\tau\to3\ell$ decays, but also by means
of $\ell\to\tau$ conversion in nuclei, which is promising in this respect.
Although the model violates slightly custodial symmetry, acommodating the
recent CDF $M_W$ measurement is in tension with electroweak precision data.
