  We calculate cross sections for the exclusive diffractive leptoproduction of
$\rho$-mesons, $\gamma^*~p~\to~\rho~p$, within the framework of high-energy
factorization. Cross sections for longitudinally and transversally polarized
mesons are shown. We employ a wide variety of unintegrated gluon distributions
available in the literature and compare to HERA data. The resulting cross
sections strongly depend on the choice of unintegrated gluon distribution. We
also present predictions for the proton target in the kinematics of the
Brookhaven EIC.
