We study the synchronization behavior of a class of identical FitzHugh-Nagumo-type oscillators under linear diffusive coupling. We describe the oscillators by a circuit model and we provide a sufficient synchronization condition that relies on the shape of the nonlinear conductance’s (i, u)-curve and the connectivity of the linear coupling network. We propose that this condition may have benefits with regard to the design of neuromorphic circuits using such oscillators and furthermore investigate how sharp our condition is.