A tire layer application assembly and a method for applying a tire layer around a substantially circular circumferential surface of an object. The assembly is provided with a drive which, during application, is coupled to the object for driving the object in a driven rotation about a concentric axis of rotation with respect to the circumferential surface, wherein the assembly includes a tracking device which, during application, is arranged to be fixed to a part of the tire layer that is applied to the circumferential surface, wherein the tracking device is rotatable in a tracking rotation about the axis of rotation of the object, independent of the driven rotation of the object about the same axis of rotation.