Reheating is a process by which the inflaton’s energy density transfers to conventional
matter after cosmic inflation. Currently, there is no cosmic observational evidence to
directly detect the reheating era, but it may impose additional constraints on inflationary
models. Depending upon the model, e-folding number during reheating Nre and the final
reheating temperature Tre, as well as its effective equation of state parameter ωre, may
be directly linked to the inflation observables such as the scalar spectral index ns and
the tensor-to-scalar ratio r. By restricting the values of the effective equation of state
parameter observationally, one can derive more stringent limits on inflationary models
than those obtained from other routes. In this paper, we are interested to consider
the reheating era in an inflation model with a nonminimal derivative coupling of the
scalar field to impose some severe constraints on the parameter space of the model in
the light of Planck 2018 data. We study the reheating final temperature and e-folds
number in terms of the scalar spectral index and ωre within a numerical analysis on
the model’s parameter space. To realize a viable range of the reheating equation of state
parameter in this nonminimal derivative inflation model, we obtain some observationally
acceptable subspaces in the Nre − ωre phase plane.