We experimentally investigate particle migration in a non-Brownian suspension sheared in a Taylor–Couette configuration and in the limit of vanishing Reynolds number. Highly resolved index-matching techniques are used to measure the local particulate volume fraction. In this wide-gap Taylor–Couette configuration, we find that for a large range of bulk volume fraction, $\unicode[STIX]{x1D719}_{b}\in [20\,\%{-}50\,\%]$, the fully developed concentration profiles are well predicted by the suspension balance model of Nott & Brady (J. Fluid Mech., vol. 275, 1994, pp. 157–199). Moreover, we provide systematic measurements of the migration strain scale and of the migration amplitude which highlight the limits of the suspension balance model predictions.