In the CERN Large Magnet Facility (LMF), the series production of the Nb3Sn-based 11 T dipole magnets is currently ongoing. Results from magnet tests and observations regarding the conductor irreversible stress limitations have shown that a uniform and well-defined pre-load is crucial. The collaring force in the assembly is adjusted by the thickness of a longitudinal shim derived from the measured coil’s azimuthal excess. One of the key features to define the collaring force is given by the control of the coil dimensions. The results from two measurement setups are presented using Coordinate Measurement Machines (CMM) featuring ±34 μm and ±5 μm accuracy. The analysis accuracy is modelled taking into account the 11 T coil branch geometry and measurement setup characteristics.