I present the one-loop contributions to ALP-SM couplings stemming from effective ALP operators, including all finite corrections. The complete leading-order (dimension five) effective linear Lagrangian is considered. These corrections can become a useful tool to test ALP-SM interactions which are hard to measure via their loop impact on other observables that are more experimentally constrained. As an example, ALP-WW interaction is hardly observed at tree level, but competitive constraints are obtained via its contribution to ALP-γγ interaction at one-loop order. These results are of particular impact on non-resonant LHC and accelerator searches of ALP coupling to γγ, ZZ, Zγ, WW and fermions.