Using a perturbative model for diffractive interactions, we derive an
expression for the polarized diffractive structure function $g_1^D$
in the high energy limit. This structure function is given by the
interference of diffractive amplitudes with polarized and unpolarized
exchanges. For the polarized exchange we consider both two-gluon and
quark-antiquark amplitudes. The polarized diffractive amplitude
receives sizable contributions from non-strongly ordered regions in phase
space, resulting in a double logarithmic enhancement at small $x$. The
resummation of these double logarithmic terms is outlined. We also discuss
the transition from our perturbative expression to the nonperturbative
region. A first numerical estimate indicates that the perturbative
contribution to the spin asymmetry is substantially larger than the
nonperturbative one.