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In this work, we study the non-minimally-coupled Higgs model in the contextof warm inflation scenario on both metric and Palatini approaches. Weparticularly 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 theinteraction between inflaton and radiation fluid. We compute all relevantcosmological parameters and constrain the models using the observational Planck2018 data. We discover that the $n_s$ and $r$ values are consistent with theobservational bounds. Having used the observational data, we constrain arelation between $\xi$ and $\lambda$ for the non-minimally-coupled warm Higgsinflation in both metric and Palatini cases. To produce $n_s$ and $r$ inagreement with observation, we find that their values are two orders ofmagnitude higher than those of the usual (cold) non-minimally-coupled Higgsinflation.

Nonminimally-coupled warm Higgs inflation: Metric vs. Palatini Formulations