  We use NRQCD to predict the cross section for $\eta_c$ production at the
Tevatron. The non-perturbative matrix elements required are obtained, using
heavy-quark symmetry, from the matrix elements determined from the CDF $J/\psi$
data. Our numbers are, therefore, predictions of NRQCD and provide a very good
test of it. Even after taking into account the small branching ratio of the
$\eta_c$ into two photons, a substantial rate for the production of this
resonance at the Tevatron is expected.
