An "emotional" Eli Manning spoke to reporters about Coughlin's future in New York, hinting at the change, saying he "maybe" knows his head coach's fate, but added he didn't "want to share it right now."
"He definitely has not failed these players," Manning added. "We failed him."
Earlier in the day, per Dan Graziano of ESPN, Coughlin told Giants players: "If this is my last time as head coach, I wish you all the success in the world.”
Coughlin is 102-90 in his career with New York and has five postseason appearances. Both of his Super Bowl victories came over the New England Patriots, with the last one concluding the 2011 season. However, the Giants will finish their third consecutive losing season Sunday.
Coughlin also coached the Jacksonville Jaguars from 1995 to 2002 and went 68-60 with four playoff appearances. He made the postseason every year from 1996 to 1999, which marked the high point in Jaguars franchise history.
Coughlin's 70th birthday is just before the start of the 2016 NFL season. His departure from the Giants could mark the end of his impressive career as an NFL head coach.
It was a lost season for the Giants. They went 6-10 on the year and missed a golden opportunity to win a beleaguered NFC East.