  We calculate the effect of two CP-violating (dimension-eight) operators of
the SU(2)-Higgs model on the motion along a particular path from the vacuum to
the sphaleron. It turns out that CP-violation may introduce a difference
between the sphaleron rate towards larger Chern-Simons number and the rate
towards smaller Chern-Simons number. Such a difference induces a non-zero
baryon-number without a first order phase transition.
