Abstract: A technique facilitates the use of polymer materials in a downhole environment via utilization of a coating that can be applied to the polymer material. The methodology enables formation of a coating that sufficiently bonds with an underlying base structure of polymer material to withstand the harsh environment encountered in a downhole application. Additionally, the coating may utilize reactive chemistries to further protect the polymer material against the ingress of deleterious fluids while located in the downhole environment. Well tubulars formed of coated polymer are also described.