Further injuries would mean tight end Marcellus Rivers would have to line up at tackle.
Marcellus Rivers and Rod Smart were signed before training camp but did not make the final 53-man roster.
It has become a race between the potential of Darnell Dinkins, a second-year player, and the experience of Marcellus Rivers.
Three Barber runs and a pass to tight end Marcellus Rivers gave the Giants a first-and-goal at the 3 with 16 seconds left.
Marcellus Rivers (born October 26, 1978 in Oklahoma City, Oklahoma) is an American football tight end.
Marcellus Rivers and Visanthe Shiancoe would alternate as his replacement.
Marcellus Rivers, the most productive member of the coverage teams, was inactive when the Giants played Seattle on Sept. 22.
Marcellus Rivers, who started in place of Shockey on Sunday against Philadelphia, had 3 catches for 16 yards.
"If he doesn't play, from what I've seen from Dan Campbell and Marcellus Rivers, I think we'll function."
Marcellus Rivers is recovering from hernia surgery.