A device includes a first sensor for making a radial measurement of a tubular component and a support which can drive the first sensor in a circular trajectory in a predefined plane orthogonal to the principal axis of the component. The support includes a principal body that can be attached to the component by a releasable attachment mechanism and a rotary shaft onto which an arm carrying the first sensor is attached to allow displacement of the first sensor in a circular trajectory inside or about the component. The device further includes a second sensor for measuring an angular position of the first sensor for each of its radial measurements, the radial and angular measurements obtained allowing the profile of the component in the predefined plane to be determined.