Roller for treating a paper web, particularly apt to be used within an embossing or a calendering unit, including a central fixed shaft (10) linked to a fixed frame (11) on both its ends, on the shaft (10) more low-friction elements (12) being mounted, on the low-friction elements a tubular skirt (2) being mounted coaxially with the shaft (10), the skirt (2) being free to rotate about the longitudinal axis (x-x) of the shaft (10) and being subject to vibrations during the rotation. The roller including structure for dampening vibrations, the dampening structure being provided and acting between the skirt (2) and the shaft (10).