  It is conventional wisdom that successful electroweak baryogenesis in the
Minimal Supersymmetric extension of the Standard Model (MSSM) is in tension
with the non-observation of electric dipole moments (EDMs), since the level of
CP-violation responsible for electroweak baryogenesis is believed to generate
unavoidably large EDMs. We show that CP-violation in the bino-Higgsino sector
of the MSSM can account for successful electroweak baryogenesis without
inducing large EDMs. This observation weakens the correlation between
electroweak baryogenesis and EDMs, and makes the bino-driven electroweak
baryogenesis scenario the least constrained by EDM limits. Taking this
observation together with the requirement of a strongly first-order electroweak
phase transition, we argue that a bino-driven scenario with a light stop is the
most phenomenologically viable MSSM electroweak baryogenesis scenario.
