The longitudinal relaxation rate is a useful myelin proxy that can be estimated by combining multiple acquisitions with different nominal flip angles. Inter-scan motion can introduce large biases that can be efficiently corrected if reference data with a relatively ‘flat’ sensitivity profile, e.g. a body coil, is available. This is generally not the case at ultra-high field where highly inhomogeneous localised transmit-receive coils are used. Therefore, we propose a new method for estimating and removing the net coil sensitivity that does not require a body coil, needs only coil-wise magnitude images, yet reduces motion-induced bias in R1.