The contract will become official after the new league year begins on Wednesday at 4 p.m. ET.
Signed to a one-year deal in 2017, Amukamara recorded 48 tackles while playing in 14 games last season. The 28-year-old did not have an interception for the second straight year.
In his career, Amukamara has 358 tackles, seven interceptions, 58 pass breakups and three forced fumbles in 83 career games.