In this paper, we worked in the framework of an inflationary [Formula: see text] theory in the presence of a canonical scalar field. More specifically, the [Formula: see text] gravity. The values of the dimensionless parameters [Formula: see text] and [Formula: see text] are taken to be [Formula: see text] and [Formula: see text]. The motivation for this study was the striking similarities between the slow-roll parameters of the inflationary model used in this work and the ones obtained by the rescaled Einstein–Hilbert gravity inflation [Formula: see text]. We examined a variety of potentials to determine if they agree with the current Planck Constraints. In addition, we checked whether these models satisfy the Swampland Criteria and we specified the exact region of the parameter space that produces viable results for each model. As we mention in Sec. 4, the inflationary [Formula: see text] theory used in this work cannot produce a positive [Formula: see text] which implies that the stochastic gravitational wave background will not be detectable.