The rain is part of a band affecting five Southeastern states where flash flood watches are in effect from Monday afternoon through Tuesday morning.
Some areas from Louisiana to South Carolina could see up to 4 inches of rain.
Kansas City International Airport set a February 21 record of 9 inches of snow, 4 more inches than the amount that fell the same date in 2010. Monday might bring 6 to 10 more inches, forecasters said.
Kansas City is approaching its February snowfall record of 20.7 inches, set in 1960.
In Kansas, Wichita saw its second-highest storm snowfall total on record last week with 14.2 inches over two days, the National Weather Service said.
The town of Russell in the state's middle lay under a 22-inch layer of white by the time the storm moved off.