  For the classical groups, Kraft and Procesi have resolved the question of
which nilpotent orbits have closures which are normal and which are not, with
the exception of the very even orbits in $D_{2l}$ which have partition of the
form $(a^{2k}, b^2)$ for $a, b$ distinct even natural numbers with $a k + b = 2
l$.
  In this article, we show that these orbits do have normal closure.
