We note that the maximum temperature during reheating can be much greater t
han the reheating temperature T-r at which the universe becomes radiation d
ominated. We show that the standard model anomalous (B + L)-violating proce
sses can therefore be in thermal equilibrium for 1 GeV less than or similar
to T-r much less than 100 GeV. Electroweak baryogenesis could work and the
traditional upper bound on the Higgs mass coming from the requirement of t
he preservation of the baryon asymmetry may be relaxed. Alternatively, the
baryon asymmetry may be reprocessed by sphaleron transitions either from a
(B - L) asymmetry generated by the Affleck-Dine mechanism or from a chiral
asymmetry between e(R) and e(L) in a B - L = 0 universe.