  We discuss single top quark production via u^i+\bar d^j \to t+\bar b at the
Fermilab Tevatron in the minimal supersymmetric model with R-parity violation.
We find that within the allowed range of coupling constants, the lepton-number
violating couplings can give rise to observable effects when the slepton mass
lies in a specific narrow range. For the baryon-number violating couplings, the
contribution to the production rate can be quite large in the presently allowed
range of the coupling constants. We show that the measurement of single top
production at the upgraded Tevatron can be used to constrain a linear
combination of products of the R-parity violating couplings.
