We calculate the baryon asymmetry generated at the electroweak phase transi
tion in the minimal supersymmetric standard model, using a new method to co
mpute the CP-violating asymmetry in the Higgsino flux reflected into the un
broken phase. The method is based on a Higgs insertion expansion. We find t
hat the CP asymmetry at leading order is proportional to the change in tan
beta in the bubble wail, which is at most of order 10(-2), while at next-to
-leading order this suppression factor disappears. This result may enhance
the final baryon asymmetry generated during the electroweak phase transitio
n for small Delta beta (< 10(-3)). (C) 2000 Elsevier Science B.V. All right
s reserved.