  We compute non-perturbative contributions to b->s l+ l- that are not
explicitly suppressed by powers of the b-quark mass. They are proportional to
lambda_2 and arise from an interference between the free-quark amplitude and
higher order terms in the matrix element of a four-quark operator. This
correction is found to be small over most of the dalitz plot except near the
charm threshold. Unfortunately, the perturbative computation we have performed
is invalid near charm threshold and we do not except to see the structure found
at lowest order reproduced in the data. We conclude that these non-perturbative
contributions do not significantly modify the previous analysis of b->s l+ l-.
