  We investigate whether or not perturbative unitarity is preserved in the
Unhiggs model for the scattering process of heavy quarks and longitudinal gauge
bosons $\bar q q \to V_L^+ V_L^-$. With the Yukawa coupling given in the
original formulation of the Unhiggs model, the model preserves unitarity for
Unhiggs scaling dimensions $d\leq 1.5$. We examine the LHC phenomenology that
is implied by the Unhiggs model in this parameter range in detail and discuss
to what extent the LHC can test $d$ if an excess is measured in the
phenomenologically clean $ZZ$ channel in the future or if the LHC measurement
remains consistent with the background. We then make use of the AdS/CFT
correspondence to derive a new Yukawa coupling that is conformally invariant at
high energies, and show that with this Yukawa coupling the theory is unitary
for $1 \leq d < 2$.
