The Giants placed veteran TE Daniel Fells on injured reserve with a staph infection which was discovered as he was being treated for a chronic ankle condition late last week.
Tom Coughlin said he'd like to replace him with another veteran at the position given the relative inexperience of the group, but that may not be possible.
"That type of player may or may not be available," Coughlin said on a conference call Monday. "We'll have to see where that stands."
Coughlin pointed out that Larry Donnell has played a "significant" number of snaps this season and has "grown into that role" of the starting tight end. The Giants also have rookie Jerome Cunningham, who has been injured the last two games, and rookie Will Tye from Stony Brook University who made his NFL debut on Sunday.
"It wasn't too big for him," Coughlin said of Tye, who played 12 offensive snaps and dropped the only pass thrown in his direction. "He did a decent job of blocking. There were a couple of good plays and one poor play ... For the first time out of the box, he went out there and handled it well."
Tye was promoted from the practice squad over the weekend when it became apparent that Fells would not be available for the game against the Bills. The Giants have not yet announced a corresponding roster move.
"It went from early in the week being a junky ankle to a serious situation," Coughlin said of Fells' infection. "He seems upbeat about it and we're looking forward to getting things under control so he can get out of the hospital."