Bryant is enjoying a solid season with the Cowboys and is tied sixth in the league in receiving touchdowns with eight so far, as well as averaging over 14 yards per reception.
With those figures in mind, the Giants know they must stop Bryant if they are to haul themselves back into playoff contention in the NFC East this weekend.
Giants Safety Will Hill told the Newark Star-Ledger: "You have to get your hands on him. Dez doesn't like to be touched, like most receivers in this league. But really him. He doesn't like to be touched."
"Yeah you just have to be physical with him," cornerback Prince Amukamara added. "Dez is a big guy. You just have to use his medicine against him. I think that is the key."
Should the Giants win on Sunday, the two sides will be tied on 5-6 records with five matches remaining.