Let $\theta$ be a closed $(1,1)$-form with ample de Rham class $\{\theta\}\in N^{1}(X)$ and let ${\mathscr{X}}_{0}$ be any ${K^{\circ}}$-model of $X$. Then there is a ${K^{\circ}}$-model ${\mathscr{X}}$ of $X$ dominating ${\mathscr{X}}_{0}$ such that $\theta$ is determined on ${\mathscr{X}}$ and a model function $\varphi$ such that $\theta+dd^{c}\varphi$ is ${\mathscr{X}}$-positive. If $\theta$ is semipositive and ${\varepsilon}>0$, then we may find such a model function with $-{\varepsilon}\leq\varphi\leq 0$.