  The purpose of this paper is to introduce the notion of pre-Malcev
superalgebras as the algebraic structure behind the super
$\mathcal{O}$-operators on Malcev superalgebras. Moreover, the relations among
Malcev superalgebras, pre-Malcev superalgebras and pre-alternative
superalgebras are established. Then, we study the operator forms of the
classical Yang-Baxter equation (CYBE) in Malcev superalgebras and give their
relationship with super $\mathcal{O}$-operators. There are close relationships
between the CYBE in Malcev superalgebras and pre-Malcev superalgebras which can
be interpreted through the super $\mathcal{O}$-operators.
