  In 1994, Vel\'{a}zquez constructed a countable family of complete
hypersurfaces flowing in $\mathbb{R}^{2N}$ $(N\geq 4)$ by mean curvature, each
of which develops a type II singularity at the origin in finite time. Later Guo
and Sesum showed that for a non-empty subset of Vel\'{a}zquez's solutions, the
mean curvature blows up near the origin, at a rate smaller than that of the
second fundamental form; recently Stolarski proved another subset of these
solutions has bounded mean curvature up to the singular time. In this paper, we
follow their arguments to construct compact mean curvature flow solutions in
$\mathbb{R}^n$ $(n\geq 8)$ with bounded mean curvature.
