All flights in and out of Rick Husband Amarillo International Airport in Texas were canceled until noon on Monday.
Preston Smith International Airport in Lubbock was also closed, CNN affiliate KCBD reported, and Texas Tech University in Lubbock shut down on Monday because of the storm.
While millions will see snow -- including Chicago, where 3 to 7 inches of snow and sleet are expected by Wednesday morning -- rain may rule for the next few days in parts of the Southeast.
In Mobile, Alabama, on the Gulf Coast, residents prepared for the possibility of heavy rain and wind gusts as strong as 30 mph by Monday night.
The rain is part of a band affecting several Southern states where tornado watches were in also effect Monday night.