From NMR Wiki
Chemical shift of proteins was shown to change linearly in the range (-4 oC to about 15o below the melting temperature or 94 oC. Chemical shifts of amide protons are typically decreasing (moving upfield), while those of Hα atoms might be either increasing or decreasing.
References
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Baxter, NJ and Williamson, MP. Temperature dependence of 1 H chemical shifts in proteins. Journal of Biomolecular NMR 9(4):359--369, 1997. BibTeX [baxter97]