  Complex flavour couplings (off-diagonal mass terms) in the squark sector of
supersymmetric theories may drastically alter both the rate and the
CP-violating asymmetry of certain B-meson decays. We consider the effects of
couplings that induce b -> s transitions and lead to final state with
strangeness one. We investigate the bounds that must be satisfied by the new
terms and explore the possible implications on direct and mixing induced
asymmetries in the charged and neutral B -> J/Psi K and B -> phi K decays.
