In the above situation, denote $\check{M}_{s}$ the hyperkähler manifold with period $\check{\Omega}_{s}$, and $d_{s}={\rm diam}_{\check{\omega}}(\check{M}_{s})$. Then, for any sequence $s_{k}\rightarrow\infty$, a subsequence of $(\check{M}_{s_{k}},d_{s_{k}}^{-2}\check{\omega})$ converges in the Gromov-Hausdorff sense to a compact metric space $(X,d_{X})$. Furthermore, there is an open dense subset $X_{0}\subset X$ such that $(X_{0},d_{X})$ is local isometric to an open non-complete smooth Riemannian manifold $(N_{0},g)$ with $\dim_{\mathbb{R}}N_{0}=\frac{1}{2}\dim_{\mathbb{R}}M$.