Montgomery, 37, spent two seasons running Duke's offense and coaching the quarterbacks. The 7-5 Blue Devils, who will take on Indianain the New Era Pinstripe Bowl on Dec. 26, ranked 38th in the FBS in passing with 253.4 yards per game in 2015 under Montgomery's watch.
He was an All-ACC receiver for Duke from 1996 to 1999 and made his return to the program as a coach in 2006. After four years on the staff, he spent three years coaching the Pittsburgh Steelers' receivers before coming back to Durham, North Carolina, to run the Duke offense.
East Carolina dismissed coach Ruffin McNeill on Dec. 4 after six seasons and a 42-34 record and one bowl win.