Abrasive water jet machining is an interesting solution for the production of shallow pockets in metal sheets made of titanium alloys. Indeed, it produces only low cutting forces, little heat and prevents deformation of these parts after machining. In addition, it only uses sand and water. In order to generate pocket edges conforming to an imposed geometry, it is necessary to tilt the axis of the jet and the material removal mechanism is then a function of the inclination angle. The presented study introduces an improved model for modelling the pocket bottom profile in TiAl6V parts. This model is efficient since the precision on the machined depth is around 5%.