  In this work, we study the non-minimally-coupled Higgs model in the context
of warm inflation scenario on both metric and Palatini approaches. We
particularly consider a dissipation parameter of the form $\Gamma=C_{T}T$ with
$C_{T}$ being a coupling parameter and focus only on the strong regime of the
interaction between inflaton and radiation fluid. We compute all relevant
cosmological parameters and constrain the models using the observational Planck
2018 data. We discover that the $n_s$ and $r$ values are consistent with the
observational bounds. Having used the observational data, we constrain a
relation between $\xi$ and $\lambda$ for the non-minimally-coupled warm Higgs
inflation in both metric and Palatini cases. To produce $n_s$ and $r$ in
agreement with observation, we find that their values are two orders of
magnitude higher than those of the usual (cold) non-minimally-coupled Higgs
inflation.
