We present a simple quantum relativistic model of neutrino oscillations and propagation in space. Matrix elements of the neutrino Hamiltonian depend on momentum and this dependence is responsible for the observed neutrino velocity. It is possible to choose the Hamiltonian in such a way that neutrino velocity oscillates around c in a pattern synchronized with flavor oscillations. The velocity can exceed c during some time intervals. Due to low masses of the electron, muon and tau neutrino species, this superluminal effect is too small to be seen in experiments. The consistency of our model with fundamental principles of relativity and causality is discussed as well.