The police force is asking people living in the northern provinces of Västerbotten, Norrbotten and Västernorrland to prepare for heavy bouts of snow on Thursday.
The Swedish Meteorological and Hydrological Institute issued a class 2 warning for parts of the Norrland coast and inner Jämtland, meaning there could be considerable damage to property and important services might be disrupted. Up to 20 to 30 cm of snow is expected inland, but the coastline could experience up to 50 cm.
Meteorologist Therese Fougman told news agency TT that there might be problems on the E4 motorway in those areas.
In the South, 5 to 10 cm of snow is expected on Thursday. As it turns into rain towards the evening, there is a risk of slippery roads.
A number of flights from Stockholm Arlanda and Gothenburg Landvetter airport were delayed or cancelled on Wednesday.