  The dynamic conductance of the heavy-fermion superconductor CeCoIn$_5$ is
measured by point-contact spectroscopy as a function of temperature from 60 K
down to 400 mK. The contact between the gold tip and the single-crystal is
shown to be in the Sharvin limit with the enhanced sub-gap conductance arising
from Andreev reflection. The zero-bias conductance data are best fit using the
extended Blonder-Tinkham-Klapwijk model with a d-wave superconducting order
parameter. A fit to the full conductance curve at 400 mK indicates strong
coupling ($2\Delta(0)/k_\textrm{B}T_\textrm{c} = 4.6$) and quantifies the
suppressed Andreev reflection signal, which is a signature of
normal-metal/heavy-fermion superconductor junctions. Possibilites for
theoretical modeling to account for the suppressed Andreev conductance are
suggested.
