A scheme for NLO computations of generic observables in hadron collisions is presented within hybrid factorization, that is the framework of high-energy factorization with one off-shell and one on-shell initial-state parton. The ambiguity of projectile-target separation in the high-energy limit is governed by the Collins-Soper scale $\mu_Y$. The NLO unintegrated PDF is constructed in terms of collinear PDFs, and its $\mu_Y$-evolution reproduces the Collins-Soper-Sterman equation in the TMD limit of $|k_{\scriptscriptstyle\perp}|\ll \mu_Y$. BFKL-Collins-Ellis evolution of the Green's function in the UPDF takes care of the resummation of high-energy logarithms.