The origin of pulsar kicks is reviewed in the framework of the spin-flip conversion of neutrinos propagating in the gravitational field of a magnetized protoneutron star. We find that for a mass in rotation with angular velocity omega, the spin connections entering in the Dirac equation give rise to the coupling term omega (.) p, where p is the neutrino momentum. Such a coupling can be responsible for pulsar kicks owing to the neutrino emission asymmetry generated by the relative orientation of p with respect to omega. For our estimations, the large non-standard neutrino magnetic momentum, mu(v) less than or similar to 10(-11) mu(B), is considered.