There's ground temperature and snow temperature. Warm ground will melt and absorb the water. Snow above inhibits evaporation from the ground;so the soil moisture content increases. Once a considerable depth of soil thaws, you get the same depth of mud until evaporation, and drainage, surface and subsoil dry it out. It can take weeks. A prolonged cold snap can make it drivable depending depending on tires and weight.

Out here I see the odd tractor with four or even six tires on an axle in the spring.