New NLO b → Xsγ calculations have become available using resummed radiative corrections. Using these calculations we perform a global fit of the supergravity inspired constrained minimal supersymmetric model. We find that the resummed calculations show similar constraints as the LO calculations, namely that only with a relatively heavy supersymmetric mass spectrum of O(1 TeV) the b − τ Yukawa unification and the b → Xsγ rate can coexist in the large tanβ scenario. The resummed b → Xsγ calculations are found to reduce the renormalization scale uncertainty considerably. The low tan β scenario is excluded by the present Higgs limits from LEP II.