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We explore a model of inflation where the inflaton mass-squared is generatedat a high scale by gravity-mediated soft supersymmetry breaking, and runs atlower scales to the small value required for slow-roll inflation. The runningis supposed to come from the coupling of the inflaton to a non-Abelian gaugefield. In contrast with earlier work, we do not constrain the magnitude of thesupersymmetry breaking scale, and we find that the model might work even ifsquark and slepton masses come from gauge-mediated supersymmetry breaking. Withthe inflaton and gaugino masses in the expected range, and $\alpha = g^2/4\pi $in the range $10^{-2}$ to $10^{-3}$ (all at the high scale) the model can givethe observed cosmic microwave anisotropy, and a spectral index in the observedrange. The latter has significant variation with scale, which can confirm orrule out the model in the forseeable future.Comment: Latex, 19 pages, 14 figures, uses epsf.st

Observational constraints on an inflation model with a running mass