  We evaluate the supersymmetric (SUSY) electroweak corrections to the effect
of parity nonconservation in $q {\bar q} \to t {\bar t}$ production at the
Fermilab Tevatron predicted by the Minimal Supersymmetric Model (MSSM). We find
that the parity nonconserving asymmetry from the SUSY electroweak and SUSY
Yukawa loop corrections predicted by the minimal supergravity (mSUGRA) model
and the MSSM models with scenarios motivated by current data is about one
percent. It will be challenging to observe such a small asymmetry at the
Tevatron with 10 fb^{-1} of luminosity. It could however be observable if both
the top- and bottom-squarks are light and $\tan \beta$ is smaller than 1,
though theses parameters are not favored by mSUGRA.
