<p>It is well-known that the localization of injective modules over a commutative Noetherian ring remains injective, a result that does not hold in general for non-Noetherian rings. In this paper, we extend the classical proof of this theorem by broadening the applicability of certain natural isomorphisms, thereby establishing the result for a wider class of rings. Among other results, we conclude that injective modules over coherent locally Noetherian rings are locally injective.</p>