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In this work we investigate the complex Leibniz superalgebras withcharacteristic sequence $(n-1, 1 | m_1, ..., m_k)$ and with nilindex equal to$n+m.$ We prove that such superalgebras with the condition $m_2\neq0$ havenilindex less than $n+m$. Therefore the complete classification of Leibnizalgebras with characteristic sequence $(n-1, 1 | m_1, ..., m_k)$ and withnilindex equal to $n+m$ is reduced to the classification of filiform Leibnizsuperalgebras of nilindex equal to $n+m,$ which was provided in \cite{AOKh} and\cite{GKh}.

On the classification of complex Leibniz superalgebras with characteristic sequence $(n-1, 1 | m_1, ..., m_k)$ and nilindex $n+m$