  We performed point-contact spectroscopy tunneling measurements on
Cu$_x$TiSe$_2$ bulk with $x=0.02$ and $0.06$ at temperatures ranging from
$T=4-40$ K and observe a suppression in the density of states around zero-bias
that we attribute to enhanced Coulomb interactions due to disorder. We find
that the correlation gap associated with this suppression is related to the
zero-temperature resistivity. We use our results to estimate the disorder-free
transition temperature and find that the clean limit $T_{c0}$ is close to the
experimentally observed $T_c$.
