  We study four-derivative corrections to pure $\mathcal{N}=2$, $D=5$ gauged
supergravity. In particular, we find that, up to field redefinitions, there is
a single four-derivative superinvariant that one can add to the action, up to
factors of the two-derivative action. Consequently, this selects out a unique
set of coefficients for the four-derivative corrections. We confirm these
coefficients (in the ungauged limit) on the BMPV solution.
