  We examine the scope of the MOMENT experiment in the context of CP violation
searches with the presence of extra eV scale sterile neutrino. MOMENT is a
proposed short baseline neutrino oscillation experiment using muon beams for
neutrinos production, making it advantageous over $\pi_0$ background and other
technical difficulties. We work over the first oscillation maxima which matches
the peak value of flux with a run time of 5 years for both neutrino and
anti-neutrino modes. We perform the bi-probability studies for both 3 and 3+1
flavor mixing schemes. The CP violation sensitivities arising from the
fundamental CP phase $\delta_{13}$ and unknown CP phase $\delta_{14}$ are
explored at the firm footing. The slight deteriorates are observed in CP
violations induced by $\delta_{13}$ as the presence of sterile neutrino is
considered. We also look at the reconstruction of CP violations phases
$\delta_{13}$ and $\delta_{14}$ and the MOMENT experiment shows significant
capabilities in the precise measurement of $\delta_{13}$ phase.
