  The inert Zee model is an extension of the Zee model for neutrino masses.
This new model explains the dark matter relic abundance, generates a one-loop
neutrino masses and forbids tree-level Higgs-mediated flavor changing neutral
currents. Although the dark matter phenomenology of the model is similar to
that of the inert doublet model, the presence of new vector-like fermions opens
the lepton portal as a new dark matter annihilation channel. We study the
impact of such a new portal in the low mass regime and show the parameter space
allowed by direct and indirect searches of dark matter. Remarkably, we show
that the region for $m_{H^0} \lesssim$ 70 GeV is recovered for $\lambda_L
\lesssim 10^{-3}$. We also show that future experiments like LZ and DARWIN
could test a large region of the parameter space of the model.
