NFL Network's Kimberly Jones reported Jenkins' violation and suspension.
This marks the second time in three weeks the Giants have suspended a cornerback. Head coach Ben McAdoo announced on Oct. 11 Dominique Rodgers-Cromartie was suspended indefinitely after leaving the team.
The Giants reinstated Rodgers-Cromartie after he missed one game.
Per Dan Duggan of NJ Advanced Media, Jenkins was one of three Giants players who were excused from the team's practice on Monday coming off a bye in Week 8.
In six games this season, Jenkins ranks second on the Giants with six passes defensed and is tied for the team lead with one interception.
After making the playoffs in 2016, the Giants have the NFC's second-worst record at 1-6 heading into their home game against the Rams on Sunday.