A top prospect coming out of high school, Simmons was captured on video hitting a woman in 2016. He later pleaded no contest to simple assault.
Simmons acknowledged his actions via conference call after being selected by the Titans on Thursday night. Simmons, who spoke frequently at camps and schools while at Mississippi State, said he plans to get out in the community "so he can show people who he really is."
"There's going to be questions about the video," Titans general manager Jon Robinson said. "Jeffery made a mistake. We talked extensively about that with him. We talked with numerous people that have been a part of his life. I can't tell you how many people spoke glowingly about him and his time at Mississippi State."
The Titans' controlling owner is Amy Adams Strunk. As the final decision-maker, she had to sign off on the move.