  We check the capability of the DUNE neutrino experiment to detect new sources
of leptonic CP violation beside the single phase expected in the Standard
Model. We illustrate our strategy based on the measurement of CP asymmetries in
the case New Physics will show up as Non-Standard neutrino Interactions and
sterile neutrino states and show that the most promising one, once the
experimental errors are taken into account in both scenarios, is the one
related to the $\nu_\mu \to \nu_e$ transition.
