Solomon, who is projected to start in the defensive line, has been on Tennessee's campus since January and working out and practicing with the team.
"I'm excited for Aubrey and his family. He's a great person," Pruitt said in a statement. "I know this has been tough for him kind of waiting on this the last six or seven months here. He's stayed the course, done really well in school. I'm glad he's getting an opportunity to play."
Solomon, who is 6-foot-5, 300 pounds, was a five-star prospect coming out of high school in Leesburg, Georgia. He played in 18 games during his two seasons at Michigan before electing to transfer after his sophomore season was cut short by a knee injury.
"I'm beyond excited to be playing football this season," Solomon said in a statement. "I can't wait to suit up with my brothers. ... I'm ready to roll."
The Vols are thin in the defensive line, especially with the loss of Emmit Gooden to a season-ending knee injury this preseason.
The Vols open the season against Georgia State on Saturday.