Tech spokeman Chris Cook said Carter, also known for his colorful mohawk, practiced Sunday for the first time in more than a week.
Tech hasn't released details of what led to the suspension. The Lubbock Avalanche-Journal reported Carter threw his helmet and loudly criticized coaches after a Sept. 19 loss at Houston, but Cook told The Associated Press he couldn't confirm that report.
Carter was one of the Tech players who had a Twitter page before coach Mike Leach banned them, but the suspension was unrelated.
Tech beat New Mexico 48-28 last weekend and faces Kansas State at home Saturday.