Ralph Vacchiano of the New York Daily News also reports general manager Jerry Reese will return next season.
The Giants went 6-10 this season, finishing third in the NFC East and missing the playoffs for the third straight season, due largely to injuries and defensive struggles. New York opened the season 3-2, but lost its next seven games to drop to 3-9 by mid-December.
According to the report, Coughlin has a meeting with Giants president John Mara scheduled for later in the day Monday to discuss potential staff changes.
Offensive coordinator Ben McAdoo finished his first season with the team, overseeing an offense that finished No. 10 in total offense (367.2 yards per game) and No. 13 in scoring (23.8 points per game).
Defensive coordinator Perry Fewell has been with the Giants since 2010, but New York's defense finished No. 29 in total defense (375.8 yards allowed per game) and No. 22 in scoring defense (25 points allowed per game).
Coughlin was hired in 2004, and has gone 96-80 in his 11 seasons with the Giants. New York has won two Super Bowls and is 8-3 in the postseason under his watch.
- Mike Fiammetta