  We prove well-posedness in reflexive Sobolev spaces of weak solutions to the
stationary Stokes problem with Navier slip boundary condition over bounded
domains $\Omega$ of $\mathbb{R}^n$ of class $W^{2-1/s}_s$, $s>n$. Since such
domains are of class $C^{1,1-n/s}$, our result improves upon the recent one by
Amrouche-Seloula, who assume $\Omega$ to be of class $C^{1,1}$. We deal with
the slip boundary condition directly via a new localization technique, which
features domain, space and operator decompositions. To flatten the boundary of
$\Omega$ locally, we construct a novel $W^2_s$ diffeomorphism for $\Omega$ of
class $W^{2-1/s}_s$. The fractional regularity gain, from $2-1/s$ to $2$,
guarantees that the Piola transform is of class $W^1_s$. This allows us to
transform $W^1_r$ vector fields without changing their regularity, provided
$r\le s$, and preserve the unit normal which is H\"older. It is in this sense
that the boundary regularity $W^{2-1/s}_s$ seems to be minimal.
