  We investigate the capability of the DUNE Near Detector (ND) to constrain Non
Standard Interaction parameters (NSI) describing the production of neutrinos
($\varepsilon_{\alpha\beta}^s$) and their detection
($\varepsilon_{\alpha\beta}^d$). We show that the DUNE ND is able to reject a
large portion of the parameter space allowed by DUNE Far Detector analyses and
to set the most stringent bounds from accelerator neutrino experiments on
$|\varepsilon_{\mu e}^{s,d}|$ for wide intervals of the related phases. We also
provide simple analytic understanding of our results as well as a numerical
study of their dependence on the systematic errors, showing that the DUNE ND
offers a clean environment where to study source and detector NSI.
