  The couplings of the low scale type I see-saw model are severely constrained
by the requirement of reproducing the correct neutrino mass and mixing
parameters, by the non-observation of lepton number and charged lepton flavour
violating processes and by electroweak precision data. We show that all these
constraints still allow for the possibility of an exotic Higgs decay channel
into a light neutrino and a heavy neutrino with a sizable branching ratio. We
also estimate the prospects to observe this decay at the LHC and discuss its
complementarity to the indirect probes of the low scale type I see-saw model
from experiments searching for the $\mu\to e\gamma$ decay.
