The latest snow should begin to taper off for much of the suburbs by Saturday night, according to the National Weather Service.
Forecasters are predicting a total of about 1 to 3 inches by 7 p.m., less than some forecasters had initially expected.
Overnight, an inch or two should blanket an area south of Interstate 80.
"It's kind of two different little systems," meteorologist Gino Izzi said.
Temperatures could climb into the low 20s Sunday.
Then another round of bitter cold will move in late Sunday and into Monday morning, when wind chills are expected to dip 20 degrees below zero, Izzi said.
"This whole winter has just been the coldest and snowiest the Chicago area has seen in decades," he said.