The National Weather Service confirmed that a twister touched down Friday afternoon near the campus and a state highway.
Norman Regional Hospital spokeswoman Kelly Wells says about 10 people were treated for "bumps and bruises."
Deputy Fire Chief Jim Bailey says the tornado damaged several homes and buildings in the city of about 100,000 residents 20 miles south of Oklahoma City.
University spokesman Michael Nash says students and non-essential personnel at the weather service's offices on the campus were ordered to remain indoors due to a tornado warning.
The tornado was part of a large storm system expected to pass through the nation's midsection this weekend.