  We show that the solid lower bound of about 10^{-44} cm^2 is obtained for the
cross section between the supersymmetric dark matter and nucleon in a theory in
which the supersymmetric fine-tuning problem is solved without extending the
Higgs sector at the weak scale. This bound arises because of relatively small
superparticle masses and a fortunate correlation that the two dominant diagrams
for the dark matter detection always interfere constructively if the constraint
from the b -> s \gamma measurements is obeyed. It is, therefore, quite
promising in the present scenario that the supersymmetric dark matter is
discovered before the LHC, assuming that the dark matter is the lightest
supersymmetric particle.
