  The goal of this article is to study compact quasi-Einstein manifolds with
boundary. We provide boundary estimates for compact quasi-Einstein manifolds
simi\-lar to previous results obtained for static and $V$-static spaces. In
addition, we show that compact quasi-Einstein manifolds with connected boundary
and satisfying a suitable pinching condition must be isometric, up to scaling,
to the standard hemisphere $\mathbb{S}_{+}^{n}.$
