  A search for the process $\epem\to \eta^\prime(958)$ in the
$\pipi\eta\to\pipi\gamma\gamma$ final state has been performed with the CMD-3
detector at the VEPP-2000 $e^+e^-$ collider. Using an integrated luminosity of
2.69 pb$^{-1}$ collected at the center-of-mass energy \Ecm = 957.68 MeV we set
an upper limit for the product of electronic width and branching fractions
$\Gamma_{\eta^\prime(958)\to\epem}\cdot\BR_{\eta^\prime(958)\to\pipi\eta}\cdot\BR_{\eta\to\gamma\gamma}<0.00041$
eV at 90\% C.L.
