  DUNE (Deep Underground Neutrino Experiment) is a proposed long-baseline
neutrino experiment in the US with a baseline of 1300 km from Fermi National
Accelerator Laboratory (Fermilab) to Sanford Underground Research Facility,
which will house a 40 kt Liquid Argon Time Projection Chamber (LArTPC) as the
far detector. The experiment will also have a fine grained near detector for
accurately measuring the initial fluxes. We show that the energy range of the
fluxes and baseline of the DUNE near detector is conducive for observing
$\nu_\mu \to \nu_e$ oscillations of $\Delta m^2 \sim$ eV$^2$ scale sterile
neutrinos, and hence can be effectively used for testing to very high accuracy
the reported oscillation signal seen by the LSND and MiniBooNE experiments. We
study the sensitivity of the DUNE near detector to sterile neutrino
oscillations by varying the baseline, detector fiducial mass and systematic
uncertainties. We find that the detector mass and baseline of the currently
proposed near detector at DUNE will be able to test the entire LSND parameter
region with good precision. The dependence of sensitivity on baseline and
detector mass is seen to give interesting results, while dependence on
systematic uncertainties is seen to be small.
