  We derive an explicit expression for the star product reproducing the
$\kappa$-Minkowski Lie algebra in any dimension $n$. The result is obtained by
suitably reducing the Wick-Voros star product defined on
$\mathbb{C}^{d}_\theta$ with $n=d+1$. It is thus shown that the new star
product can be obtained from a Jordanian twist.
