Goodman's conjecture on the normal bundle of an affine divisor complement

Let $X$ be a compact algebraic manifold and let $Y\subset X$ be a prime divisor. The normal bundle $N_{Y/X}$ is the bundle of normal directions to $Y$ in $X$. Goodman's conjecture. If $X\setminus Y$ is affine, then $N_{Y/X}$ is nef. This would give the converse direction in the affine part of the Greb–Wong conjecture in the setting considered here. The source presents it as a conjecture attributed to Goodman and does not state a resolution.