Future experiments seeking to measure the neutron electric dipole moment (nEDM) require stable and homogeneous magnetic fields. Normally these experiments use a coil internal to a passively magnetically shielded volume to generate the magnetic field. The stability of the magnetic field generated by the coil within the magnetically shielded volume may be influenced by a number of factors. The factor studied here is the dependence of the internally generated field on the magnetic permeability µ of the shield material. We provide measurements of the temperature-dependence of the permeability of the material used in a set of prototype magnetic shields, using experimental parameters nearer to those of nEDM experiments than previously reported in the literature. Our measurements imply a range of 1 µ dµ dT from 0-2.7%/K. Assuming typical nEDM experiment coil and shield parameters gives µ B0 dB0 dµ = 0.01, resulting in a temperature dependence of the magnetic field in a typical nEDM experiment of dB0 dT = 0 − 270 pT/K for B 0 = 1 µT. The results are useful for estimating the necessary level of temperature control in nEDM experiments.