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

The Stokes problem with Navier slip boundary condition: Minimal fractional Sobolev regularity of the domain