In order to observe a signal of possible CP violation in top-quark cou
plings, we study top-quark production and decay under the conditions o
f the Tevatron upgrade. Transverse energy asymmetries sensitive to CP
violation are defined. Applying the recently proposed optimal method,
we calculate the statistical significance for the direct observation o
f CP violation in the production and subsequent decay of top quarks. W
e focus on observables sensitive to absorptive contributions to CP-vio
lating form factors. (C) 1997 Elsevier Science B.V.