  In this work, we study warm inflationary scenario based on a deformation of
$R^{2}$ gravity. We start considering $R^{p}$ and assume $p=2(1+\delta)$ with
$\delta\ll 1$ so that we simply obtain warm $R^{2}$ inflation when setting
$\delta=0$. We then derive the potential in the Einstein frame and consider a
dissipation parameter of the form $\Gamma = C_{1}T$ with $C_1$ being a coupling
parameter. We focus only on the strong regime of which the interaction between
inflaton and radiation fluid has been taken into account. We compute
inflationary observables and constrain the parameters of our model using latest
observational data reported by Planck. From our analysis, we discover that with
proper choices of parameters the derived $n_s$ and $r$ are in good agreement
with the Planck 2018 observational constraints. Particularly, we constrain the
potential scale $U_{0}$ of the models.
