Is $U\mapsto \mathcal F(U)\otimes_{\mathcal O_X(U)}\mathcal F(U)$ a presheaf or sheaf?

Question

Let $X$ be a scheme and $\mathcal F$ an $\mathcal O_X$-module. We assign an $\mathcal O_X(U)$-module to each open set $U$ of $X$, that is, $U\mapsto \mathcal F(U)\otimes_{\mathcal O_X(U)}\mathcal F(U)$, is it a presheaf or sheaf?