  We consider a model where neutrinos interact with weakly interacting massive
particles (WIMPs) as a possible explanation for the production of NuTeV's
anomalous dimuon events. This model naturally produces the features reported by
NuTeV, specifically the muon energy asymmetry and other kinematics. When
combined with the NuTeV event selection criteria, this model predicts an
expectation of zero events as observed in their other search channels. For the
best agreement with data, the model requires a lower WIMP mass than
conventionally expected, but one that is of current interest due to DAMA/LIBRA
results, at around 10 GeV$/c^2$. This model has a very high cross section for
neutrino-WIMP interactions. We make suggestions for future searches that would
confirm or refute this model.
