A device for adjusting cutting depth for the removal of weld beads inside profile sections such as tubes and the like, comprising a supporting frame (1) of an elongated shape and transverse dimensions suitable for enabling it to be contained inside a profile section or tube (2), the supporting frame (1) being associated, at one end thereof, with an arm or external rod, the device being characterized in that it comprises: —a plurality of rolling elements (3) associated with the supporting frame (1) at a pre-established mutual distance in a longitudinal direction and that partially project out from the body of the same supporting frame and are capable of coming into contact with the inner surface of the profile section or tube (2) in a zone that is diametrically opposite the one whereon the internal weld bead (4) lies; —at least two rollers (5), which are idle, arranged longitudinally at a pre-established distance from each other, and mounted on small frames (6) that are movable in transverse directions with respect to the longitudinal axis of the supporting frame (1) from an active position, wherein the rollers (5) are in contact with the inner surface of the profile section or tube (2) in the proximity of the internal weld bead (4), to an inactive position, wherein the rollers (5) are not in contact with this inner surface of the profile section or tube (2).The rollers being commanded to shift transversely by a control mechanism having inclined surfaces (7).