  Let $X=\{X(t)\}_{t\geq0}$ be an operator semistable L\'evy process in $\rd$
with exponent $E$, where $E$ is an invertible linear operator on $\rd$ and $X$
is semi-selfsimilar with respect to $E$. By refining arguments given in
Meerschaert and Xiao \cite{MX} for the special case of an operator stable
(selfsimilar) L\'evy process, for an arbitrary Borel set $B\subseteq\rr_+$ we
determine the Hausdorff dimension of the partial range $X(B)$ in terms of the
real parts of the eigenvalues of $E$ and the Hausdorff dimension of $B$.
