A tool is provided having two deep rolling work rollers (2) made of a hard material which, for the deep rolling of grooves in crankshaft journals or crank pins, are arranged at a first mutual distance that corresponds to the specific width of the journals. Each of the work rollers (2) is supported to float in a pocket-shaped recess (14) provided in a cage (4), in accordance with the first distance. The cage (4) consists of a material which, compared to the material of the work rollers (2), has a lower degree of hardness but superior sliding characteristics. The cage (4) is located at the extreme end of the long leg (5) of an L-shaped tool holder (6), and has a second distance (8) to a second cage for support of the same work rollers (2). A minimum of one of the recesses (14) of the second cage is configured in a way to provide the work roller (2), at least in the direction of the first distance, with increased mobility, and in addition, a support surface is provided which engages the outer circumference of the work roller (2)