Three games in Spain's top flight and six further fixtures from the Segunda Division are currently under suspicion for various irregularities, according to the LFP president
Three of the matches were played in La Liga, with one of the matches between Levante and Deportivo.
Six games in the Segunda Division are also being monitored, including Girona v Xerez and Hercules v Racing.
"I'm not going to say the rest of the games because I think it could prejudice the investigation, but the suspicions arose for various reasons, from unusual betting patterns to events before and after the matches," Tebas told reporters.
"All the suspicious games are being investigated and have been communicated to the Anti-Corruption Prosecutor. How the investigation is progressing I could not tell you, because I don't know and if I did know I wouldn't tell you."
Earlier this year Tebas admitted he had concerns over match-fixing in La Liga.
Meanwhile, the president of the Superior Council of Sports, Miguel Cardenal, made clear that football must remain clean.
"We cannot tolerate actions contrary to the sporting integrity," he said.
"We must have a clean sport and football without conduct contrary to good order and most genuine values."