  We compute the next-to-leading order impact factor for inclusive dijet
production in deeply inelastic electron-nucleus scattering at small $x_{\rm
Bj}$. Our computation, performed in the framework of the Color Glass Condensate
effective field theory, includes all real and virtual contributions in the
gluon shock wave background of all-twist lightlike Wilson line correlators. We
demonstrate explicitly that the rapidity evolution of these correlators, to
leading logarithmic accuracy, is described by the JIMWLK Hamiltonian. When
combined with the next-to-leading order JIMWLK Hamiltonian, our results for the
impact factor improve the accuracy of the inclusive dijet cross section to
$\mathcal{O}(\alpha_s^2 \ln(x_f/x_{\rm Bj}))$, where $x_f$ is a rapidity
factorization scale. These results are an essential ingredient in assessing the
discovery potential of inclusive dijets to uncover the physics of gluon
saturation at the Electron-Ion Collider.
