Generalised abundance conjecture for klt pairs with nef adjoint divisors

Let $(X,B)$ be a projective klt pair over a field $k$. Assume that $K_X+B$ is pseudo-effective, and let $M$ be a nef $\mathbb{Q}$-Cartier $\mathbb{Q}$-divisor on $X$. A divisor is num-semiample if it is numerically equivalent to a semiample $\mathbb{Q}$-Cartier $\mathbb{Q}$-divisor.

Generalised abundance conjecture. If $K_X+B+M$ is nef, then $K_X+B+M$ is num-semiample.

This extends abundance and the semiampleness conjecture to adjoint divisors involving a nef summand. The supplied text gives no resolution of the general statement, so it remains open.