"Not progressing the way we want it to," Coughlin said of the injury to Canty, a a fifth-year free-agent pickup from the Dallas Cowboys who last practiced Aug. 7.
In Saturday's 17-3 preseason loss to the Chicago Bears, New York was without all three of the big defensive free agents it signed in the offseason -- linebacker Michael Boley (hip surgery), tackle Rocky Bernard (hamstring) and Canty. None has played in the preseason.
Boley is on the physically-unable-to-perform list, while Bernard just got off the non-football injury list and is expected to play this weekend against the New York Jets.
Middle linebacker Antonio Pierce (sore foot), safety Kenny Phillips (sore knee) and cornerback Aaron Ross (hamstring) also were out, while starting guards Chris Snee (leg) and Rich Seubert (shoulder) sat out on offense.
Despite missing such important pieces Saturday, Coughlin was fed up with how the defensive unit that he was able to field performed.
"We heard for so long that we have so much depth, but I don't know what you are watching," Coughlin said in a conference call. "The guys who are supposed to be the depth have hardly practiced and some haven't played. I think you are talking about something that looks good but it hasn't really materialized. Until we get this thing straightened out and get everybody on the field, this rotation we're talking about is a nonfactor. We need people practicing."
Phillips and Ross are expected back at practice on a limited basis at the University at Albany on Monday and Pierce is being listed as day to day. Snee and Seubert also are expected to return this week and play in the annual preseason game against the Jets.
Backup defensive tackle Jay Alford, who also serves as the snapper for placekicker Lawrence Tynes, tore the medial collateral ligament and sustained a partial tear of the anterior cruciate ligament in his left knee in the game, the Giants said.
Alford will strengthen and rehabilitate the knee for approximately two weeks and then Dr. Russell Warren will make a determination on severity of ACL damage.
Information from The Associated Press was used in this report.