We study the implications for generating the cosmological baryon asymmetry through leptogenesis in the recent model of Fileviez Perez and Wise, which provides a new mechanism for generating neutrino masses at one-loop by introducing new color octet fermion and scalar fields. We find that there are significant differences with respect to other models for leptogenesis: low scale leptogenesis can occur naturally and the CP asymmetry can be large as there is no upper bound arising from neutrino masses. The CP asymmetry is insensitive to the phases in the neutrino mixing matrix. We investigate in detail the minimal model that can simultaneously fit low scale neutrino physics, the $μ\to e γ$ bound and leptogenesis. The model can provide outstanding collider signatures and the value of the CP-asymmetry can be more constrained from lepton flavour violating processes than from neutrino physics.