The accurate prediction of neutrino beam produced in muon decays and the absence of opposite helicity contamination for a particular neutrino flavour makes a future neutrino factory (NF) based on a muon storage ring (MSR), the ideal place to look for the lepton flavour violating (LFV) effects. In this paper, we address the contribution of mediating LFV leptoquarks (LQ) in \(\nu (\bar\nu)-{N}\) interactions leading to production of \(\tau\)'s and wrong sign \(\mu\)'s at MSR and investigate the region where LQ interactions are significant in the near-site and short baseline experiments.