  In this article we prove the following version of the Weak-BAB conjecture for
$3$-folds in char $p>5$: Fix a DCC set $I\subset [0, 1)$ and an algebraically
closed field $k$ of characteristic $p>5$. Let $\mathfrak{D}$ be a collection of
klt pairs $(X, \Delta)$ satisfying the following properties: (1) $X$ is a
projective $3$-fold, (2) $\Delta$ is an $\mathbb{R}$-divisor with coefficients
in $I$, (3) $K_X+\Delta\equiv 0$, and (4) $-K_X$ is ample. Then the set
$\{\mbox{vol}_X(-K_X) \ | \ (X, \Delta)\in\mathfrak{D}\mbox{ for some
}\Delta\}$ is bounded from above.
