  Recently, it has been shown that the NS-NS corrections to the type II
supergravity given by Gross and Sloan are invariant under the linear T-duality.
In this paper, we study the invariance of this action under sequence of
S-duality and linear T-duality to find the R-R corrections to the supergravity
at order $\alpha'^3$, up to field redefinition.
