A National Weather Service team will survey damage in Arlington to determine whether a tornado caused the damage, meteorologist Jason Dunn told the Star-Telegram newspaper.
You can see footage of the storm damage, including destroyed buildings and broken car windows, in the video player above.
"They will be out to determine how intense the winds were at that time," Dunn said. "They also will be out to try and track it and how wide it was."
NWS Fort Worth later confirmed that a tornado touched down in Arlington.
Large hail and strong winds were also reported in Oklahoma, but there were no widespread reports of damage.
In the South, tornadoes and severe storms are not uncommon in the late fall and early winter.
"We could get a tornado any month of the year here," Dunn said.
The Storm Prediction Center in Norman, Oklahoma, says more severe thunderstorms are possible throughout the week in parts of the South and Midwest.
The Associated Press contributed to this report.
RELATED: At least 26 dead in Central America from powerful Hurricane Iota