  In a recent work, Moslehian and Rajic have shown that the Gruss inequality
holds for unital n-positive linear maps $\phi:\mathcal A \rightarrow B(H)$,
where $\mathcal A$ is a unital C*-algebra and H is a Hilbert space, if $n \ge
3$. They also demonstrate that the inequality fails to hold, in general, if $n
= 1$ and question whether the inequality holds if $n=2$. In this article, we
provide an affirmative answer to this question.
