  We describe CP violating observables in resonant $W^\pm$ and $W^\pm$ plus one
jet production at the Tevatron. We present simple examples of CP violating
effective operators, consistent with the symmetries of the Standard Model,
which would give rise to these observables. We find that CP violating effects
coming from new physics at the $TeV$ scale could in principle be observable at
the Tevatron with $10^6$ $W^\pm$ decays.
