  In constant-roll inflation, the scalar field that drives the accelerated
expansion of the Universe is rolling down its potential at a constant rate.
Within this framework, we highlight the relations between the Hubble slow-roll
parameters and the potential ones, studying in detail the case of a
single-field Coleman-Weinberg model characterised by a non-minimal coupling of
the inflaton to gravity. With respect to the exact constant-roll predictions,
we find that assuming an approximate slow-roll behaviour yields a difference of
$\Delta r = 0.001$ in the tensor-to-scalar ratio prediction. Such a discrepancy
is in principle testable by future satellite missions. As for the scalar
spectral index $n_s$, we find that the existing 2-$\sigma$ bound constrains the
value of the non-minimal coupling to $\xi_\phi \sim 0.29-0.31$ in the model
under consideration.

Cosmology and Nongalactic Astrophysics;General Relativity and Quantum Cosmology;High Energy Physics - Phenomenology