The extension of holomorphic functions on a non-pluriharmonic locus

Let $n\ge 4$ and let $\mathrm{\Omega }$ be a bounded hyperconvex domain in ${\mathbb{C}}^n$. Let $\phi$ be a negative exhaustive smooth plurisubharmonic function on $\mathrm{\Omega }$. We show that any holomorphic function defined on a connected open neighborhood of the support of $(i\partial \overline{\partial}\varphi)^{n-3}$ can be extended to the holomorphic function on $\mathrm{\Omega }$.