  We calculate next to leading order QCD corrections to the direct decays b ->
J/Psi + X and b -> eta_c + X. The strong renormalization scale dependence is
seen to persist also in this order and in fact the rate is driven to an
unphysical negative value at the M_b scale. We show that this is a consequence
of the strong suppression and scale dependence in the leading order term. Large
cancellations take place between terms from three different orders in alpha_s.
Lacking a third order calculation we are forced to throw away the leading order
term and all but one of the next to leading order terms. The remaining ccbar
gluon emission term could very well be the dominant one. Even if this is not
the case, the picture of a rate at least as suppressed as in the leading
logarithmic approximation survives.
