We analyze the inclusive semileptonic decays B -> X_s l^+ l^- in the
framework of the supersymmetric standard model with non-universal soft-breaking
terms at GUT scale. We show that the general trend of universal and
non-universal models is a decreasing of branching ratio (BR) and increasing of
energy asymmetry (AS). However, only non--universal models can have chances to
get very large enhancements in BR and AS, corresponding to large (negative)
SUSY contributions to the b -> s \gamma amplitude.Comment: 13 pages, 3 figures. References added. To appear in Phys. Lett.