An assembly is described. A flexible pipe of the assembly comprises at least one optical fiber for mounting to a processing system or another waveguide. The unbonded flexible pipe comprises a plurality of layers. The optical fiber is arranged outside an innermost sealing sheath. At least an outermost armor layer is terminated and secured by securing material in a housing cavity of an end-fitting. The end-fitting comprises a fiber exit cavity with an entrance end and an exit opening through which the fiber can exit and the fiber is applied in an overlength in said fiber exit cavity. The assembly makes it very simple and effective to connect an optical fiber of an unbonded flexible pipe via an end-fitting to a processing system which can operate with the fiber to pump light into the fiber and collect signals and analyze the collected signals.