An early paper on this question was addressed by Giselher Herzer at Vacuumschmelze: Article Grain size dependence of coercivity and permeability in nano...
In this paper, his Fig 6 provides a near-direct answer to your question. Coercivity and permeability are inversely related to each other, so Herzer's finding of decreasing Hc with grain size (for grains larger than 1 micron) means increasing permeability with grain size, in that size range.