FIU director of sports and entertainment Pete Garcia says Turner signed a five-year contract Thursday night, with a base salary of $500,000 annually. A news conference with Turner was being scheduled for Friday afternoon.
Turner replaces Mario Cristobal, who was fired last month.
Turner most recently was the quarterbacks coach for the Tampa Bay Buccaneers, is a past offensive coordinator for the Chicago Bears and was Peyton Manning's position coach with the Indianapolis Colts.
Garcia says Turner is "the best quarterbacks coach in America, college or pro. So I'm very excited to get this guy."