Turbojet comprising an engine, a nacelle with a longitudinal axis and a fan duct defined between the nacelle and the engine, the nacelle having a chassis, a fixed cowl and a thrust reverser mounted on the chassis, said reverser comprising a movable cowl mounted to move on the chassis in translation in a translational direction between a stowed position, in which said cowl is in contact with the fixed cowl, and a deployed position in which the movable cowl is remote from the fixed cowl, at least one blocking flap that is movable in rotation about an axis perpendicular to the longitudinal axis on the movable cowl between a closed position, in which said flap releases the fan duct, and an open position in which said flap blocks the fan duct at least in part, and also a drive mechanism for moving the movable cowl and the at least one blocking flap, the drive mechanism comprising: a roller slide integral with the chassis and comprising a rail extending in the translational direction and a roller that can move in rotation in the rail over the total length of the rail defined between a first end of the rail attained when the blocking flap is in the closed position and the movable cowl is in the stowed position and a second end of the rail attained when the blocking flap is in the open position and the movable cowl is in the deployed position, a connecting rod, of which a first end is mounted to move in rotation on the roller about an axis of rotation perpendicular to the longitudinal axis and of which a second end is mounted to move on the at least one blocking flap about an axis of rotation perpendicular to the longitudinal axis, characterized in that the rail comprises a bearing surface extending in the translational direction and parallel to the longitudinal axis such as to support the connecting rod during the movement of the movable cowl from the stowed position to an intermediate position of the movable cowl, said intermediate position being between the stowed position and the deployed position of the movable cowl. a roller slide integral with the chassis and comprising a rail extending in the translational direction and a roller that can move in rotation in the rail over the total length of the rail defined between a first end of the rail attained when the blocking flap is in the closed position and the movable cowl is in the stowed position and a second end of the rail attained when the blocking flap is in the open position and the movable cowl is in the deployed position, a connecting rod, of which a first end is mounted to move in rotation on the roller about an axis of rotation perpendicular to the longitudinal axis and of which a second end is mounted to move on the at least one blocking flap about an axis of rotation perpendicular to the longitudinal axis, characterized in that the rail comprises a bearing surface extending in the translational direction and parallel to the longitudinal axis such as to support the connecting rod during the movement of the movable cowl from the stowed position to an intermediate position of the movable cowl, said intermediate position being between the stowed position and the deployed position of the movable cowl.