  We consider the higher order asymptotics for the mKdV equation in the
Painlev\'e sector. We first show that the solution admits a uniform expansion
to all orders in powers of $t^{-1/3}$ with coefficients that are smooth
functions of $x(3t)^{-1/3}$. We then consider the special case when the
reflection coefficient vanishes at the origin. In this case, the leading
coefficient which satisfies the Painlev\'e II equation vanishes. We show that
the leading asymptotics is instead described by the derivative of the Airy
function. We are also able to express the subleading term explicitly in terms
of the Airy function.
