We study the corrections to ε /ε in the minimal supersymmetric model at the leading order in QCD and QED. Supersymmetry can increase the standard model prediction for ε /ε by at most 40% for m t = 174 GeV, an enhancement which is indistinguishable from the present theoretical uncertainties. The most conspicuous effect of supersymmetry is a strong depletion of ε /ε. For certain choices of supersymmetric parameters, vanishing and even small negative values of ε /ε can be obtained for the top quark in the CDF range.