  We calculate the asymptotic behavior of the curvature scalar $(Riemann)^2$
near the null weak singularity at the inner horizon of a generic spinning black
hole, and show that this scalar oscillates infinite number of times while
diverging. The dominant parallelly-propagated Riemann components oscillate in a
similar manner. This oscillatory behavior, which is in a remarkable contrast to
the monotonic mass-inflation singularity in spherical charged black holes, is
caused by the dragging of inertial frames due to the black- hole's spin.
