Abstract. After reviewing the well known fact that bosonic "Starobinsky" R+ f(R) models of inflation are equivalent to standard single-scalar slow-roll theories, we show how to embed R+f(R) models in supergravity, in an efficient way, using supergravity's "new minimal" formulation. We also discuss how supergravity can improve the naturalness of such models and conclude presenting a rather general class of R + f(R) models coupled to matter.