How climate change will affect overwintering crops is largely unknown due to the complex and understudied interactions among temperature, rainfall and snowpack. Increases in average winter temperature should release cold limitations yet warming-induced reductions of snowpack thickness should lead to decreased insulation effects and more exposure to freezing. Here, using statistical models, we show that the presence of snowpack weakens yield sensitivity to freezing stress by 22% during 1999-2019. By 2080-2100, we project that reduced snow cover insulation will offset up to one-third of the yield benefit (8.8 +/- 1.1% for RCP 4.5 and 11.8 +/- 1.4% for RCP 8.5) from reduced frost stress across the United States. Furthermore, by 2080-2100 future decline in wheat growing season snowfall (source of snowmelt) will drive a yield loss greater than the yield benefit from increasing rainfall. Explicitly considering these factors is critical to predict the climate change impacts on winter wheat production in snowy regions. The authors consider the complex effects of climate change on winter wheat in the United States. They show that snow cover insulation weakened yield sensitivity to freezing stress by 22% from 1999 to 2019, but project that future reduced snow cover will offset up to one-third of the yield benefit from reduced frost.