The local grain boundary (GB) curvature in a model Ni-based superalloy was measured experimentally using Dehoff's tangent count method. The results show that, in materials containing significant amounts of second-phase particles, the curvature parameter, j, which relates the mean local curvature to the grain size, can adopt far lower values than have been reported previously. It is also shown that the value of j is not a constant, as is usually assumed, but instead varies both with the volume fraction of second-phase particles and with the holding time during high-temperature annealing. The lowest values for j were obtained for high particle volume fractions and long annealing times. Because the local boundary curvature constitutes the driving force for grain growth, these observations could help to explain grain growth phenomena in heavily pinned systems.