instrumented rolling bearing device of the type including a non - rotating race , a rotating race , at least one row of rolling elements arranged between two raceways of the rotating and non - rotating races , and an assembly for detecting rotation parameters including a non - rotating sensor assembly and a rotating encoder , and an elastic member intended for axially prestressing the rolling bearing , retained axially on the sensor , the elastic member being of annular shape and having a diameter smaller than or equal to that of the outer race of the bearing , the elastic member including a supporting surface designed to be in contact with an element outside the bearing device in order to exert , directly or indirectly , by reaction , an axial force on the non - rotating race in a direction opposite to the detection assembly .