The accumulation conjecture for foliations with ample normal bundle

Let $X$ be a compact connected complex manifold of dimension $n\ge 3$, and let ${\mathcal F}$ be a codimension one holomorphic foliation on $X$. Its normal bundle $N_{\mathcal F}$ is the holomorphic line bundle associated with the local defining integrable holomorphic $1$-forms of the foliation. Write $Sing({\mathcal F})$ for the singular set of ${\mathcal F}$. Accumulation conjecture. If $N_{\mathcal F}$ is ample, then every leaf of ${\mathcal F}$ accumulates to $Sing({\mathcal F})$. This extends the known result for foliations on complex projective space of dimension at least three to compact complex manifolds with ample normal bundle; the statement is presented as a conjecture in the source.