The fifth-year option will cost the Saints $6.969 million, which is a very reasonable rate if Jordan continues to perform at the level he did in 2013.
Jordan, 24, still has one year remaining on his rookie contract and will make $1,429,282 for the 2014 season.
Last year, he appeared in 16 games for the Saints and totaled 46 tackles, 12.5 sacks, two forced fumbles and two recoveries during his first season under Rob Ryan.
Pro Football Focus rated him as the No. 4 defensive end in a 3-4 system and the second best pass-rusher among qualifying players.