No students were injured in the shooting early Tuesday, and the school says classes are being held as scheduled.
University Police Chief Paul Denton says one worker is hospitalized in critical condition and another is in stable condition. The third employee was pronounced dead at the scene.
The university says the shooting involved its facilities department and that the suspect is one of the two wounded workers, but it did not say which one. A university spokesman, Jim Lynch, declined further comment.
Denton says investigators are trying to determine a motive.