  It is shown that every dp-minimal integral domain $R$ is a local ring and for
every non-maximal prime ideal $\mathfrak p $ of $R$, the localization
$R_{\mathfrak p }$ is a valuation ring and
$\mathfrak{p}R_{\mathfrak{p}}=\mathfrak{p}$. Furthermore, a dp-minimal integral
domain is a valuation ring if and only if its residue field is infinite or its
residue field is finite and its maximal ideal is principal.
