The eastern parts of Jämtland outside of the mountains, all of Västernorrland's county, and Västerbotten's county along the coast could expect anywhere from 10 to 30 cm of snow as well as heavy winds.
"It's a lot of snow in a short amount of time. There could be problems with road traffic," Mattias Lind a meteorologist with the Swedish Meteorological and Hydrological Institute (SMHI) told Swedish Radio.
The forecast comes after a wet and warm October and November, when record-high temperatures were recorded in some parts of Sweden.
Gothenburg, Sweden's second city, enjoyed a whopping 14.5 degrees Celsius, the highest ever recorded November temperature.
Now, though, a low pressure is moving in across northern and central Sweden. From Wednesday, temperatures could drop to minus 10 in Lappland, with even colder weather predicted for the northern mountain region, Marcus Sjöstedt of SMHI told Swedish Radio.
Central and southern Sweden could see snow later in the week, too, though milder weather is predicted for the weekend.
SMHI's class 2 warning for northern Sweden indicates that there could be risks for the public and a chance of material damages as well as disruptions to vital societal services.