Jacobs, 29, is scheduled to receive in March a $500,000 bonus that could force the Giants to release him.
"I like the way Rex handles his business. The guys on that team I know, know how I feel."
Jacobs, who reworked his contract last offseason to help the Giants retain running back Ahmad Bradshaw, said he is open to a similar arrangement this year.
Jacobs carried the ball 152 times for 571 yards and seven touchdowns last season.