  In this paper we investigate the description of the complex Leibniz
superalgebras with nilindex n+m, where n and m ($m\neq 0$) are dimensions of
even and odd parts, respectively. In fact, such superalgebras with
characteristic sequence equal to $(n_1, ..., n_k | m_1, ..., m_s)$ (where
$n_1+... +n_k=n, m_1+ ... + m_s=m$) for $n_1\geq n-1$ and $(n_1, ..., n_k | m)$
were classified in works \cite{FilSup}--\cite{C-G-O-Kh1}. Here we prove that in
the case of $(n_1, ..., n_k| m_1, ..., m_s)$, where $n_1\leq n-2$ and $m_1 \leq
m-1$ the Leibniz superalgebras have nilindex less than n+m. Thus, we complete
the classification of Leibniz superalgebras with nilindex n+m.
