Let $R$ be a Dubrovin valutaion ring of a simple Artinian ring $Q$ and let $Q_s(R)(Q_l(R))$ be the symmetric (left) Martindale ring of quotients of $R$. It is shown that either $Q_s(R)=R_P=Q_l(R)$ for the minimal Goldie prime ideal $P$ of $R$ such that the prime segment $P \supset (0)$ is simple or $Q_s(R)=Q=Q_l(R)$.