A method for manufacturing a roller, adapted to equip a mechanical system forming a cam follower, the mechanical system comprising: - at least one support element (10; 10, 60) comprising a tappet centered on a longitudinal axis and movable in translation along the longitudinal axis, and comprising a bearing portion; - a pin, centered on a central axis perpendicular to the longitudinal axis, the pin being supported by the support element and being received by two lateral flanges (21, 22) of the bearing portion, the lateral flanges being parallel to the longitudinal axis in a birfucated manner, on both sides of the longitudinal axis, the lateral flanges delimiting an intermediate gap between them, with a concave bottom, each lateral flange (21, 22) including a cylindrical bore (25, 26), each lateral flange having an inner plane face (23, 24) facing the intermediate gap; and - the roller, being centered on the central axis and comprising: o an outer cylindrical surface adapted to roll on a cam; o an inner cylindrical bore adapted to receive the pin belonging to the mechanical system; and o two lateral faces (43, 44) extending radially to the central axis, a first lateral face among the lateral faces and a first inner plane face among the inner plane faces being likely to slide against each other, or a second lateral face among the lateral faces and a second inner plane face among the inner plane faces being likely to slide against each other, when the roller moves in rotation around the central axis, characterized in that each of the two lateral faces (43, 44) comprise a projecting portion (43a, 44a) and a setback portion (43b, 44b); and in that the method includes a machining step in which circular grooves (46; 47) are formed concentric with each other on both lateral faces (43, 44) of the roller, in that the circular grooves (46; 47) are formed on the projecting portion (43a; 44a) of the lateral faces (43; 44) of the roller, and not on the setback portion (43b; 44b) of the lateral faces (43; 44) of the roller; and in that two grinding discs (91, 92) form the circular grooves (46; 47) during the machining step, by simultaneously grinding the two lateral faces (43, 44) of the roller. - at least one support element (10; 10, 60) comprising a tappet centered on a longitudinal axis and movable in translation along the longitudinal axis, and comprising a bearing portion; - a pin, centered on a central axis perpendicular to the longitudinal axis, the pin being supported by the support element and being received by two lateral flanges (21, 22) of the bearing portion, the lateral flanges being parallel to the longitudinal axis in a birfucated manner, on both sides of the longitudinal axis, the lateral flanges delimiting an intermediate gap between them, with a concave bottom, each lateral flange (21, 22) including a cylindrical bore (25, 26), each lateral flange having an inner plane face (23, 24) facing the intermediate gap; and - the roller, being centered on the central axis and comprising: o an outer cylindrical surface adapted to roll on a cam; o an inner cylindrical bore adapted to receive the pin belonging to the mechanical system; and o two lateral faces (43, 44) extending radially to the central axis, a first lateral face among the lateral faces and a first inner plane face among the inner plane faces being likely to slide against each other, or a second lateral face among the lateral faces and a second inner plane face among the inner plane faces being likely to slide against each other, when the roller moves in rotation around the central axis, characterized in that each of the two lateral faces (43, 44) comprise a projecting portion (43a, 44a) and a setback portion (43b, 44b); and o an outer cylindrical surface adapted to roll on a cam; o an inner cylindrical bore adapted to receive the pin belonging to the mechanical system; and o two lateral faces (43, 44) extending radially to the central axis, a first lateral face among the lateral faces and a first inner plane face among the inner plane faces being likely to slide against each other, or a second lateral face among the lateral faces and a second inner plane face among the inner plane faces being likely to slide against each other, when the roller moves in rotation around the central axis, characterized in that each of the two lateral faces (43, 44) comprise a projecting portion (43a, 44a) and a setback portion (43b, 44b); and in that the circular grooves (46; 47) are formed on the projecting portion (43a; 44a) of the lateral faces (43; 44) of the roller, and not on the setback portion (43b; 44b) of the lateral faces (43; 44) of the roller; and in that two grinding discs (91, 92) form the circular grooves (46; 47) during the machining step, by simultaneously grinding the two lateral faces (43, 44) of the roller.