Canty will be back on the field, but Beckum will not.
NFL rules state that players on PUP have a three-week window to resume practice before a determination must be made to add them to the roster.
The Giants will have to make a corresponding move on the 53-man roster to make room for Canty, if they choose to activate him.
It is unclear if Canty will be ready to play Sunday against Washington.
He has missed training camp and the preseason, so his conditioning may be an issue.
But the veteran defensive tackle recently expressed confidence that he will be ready to play as soon as he starts practicing.
“The knee does feel better than if I had been activated at the start of the season,” Canty said last week. “At the start of the season, my knee was significantly better than it was during the regular season and playoffs, and now it is even better than that. I lost a little weight, leaned out a little bit. I am excited to see what I can do out there.”
The 6-7 Canty should provide depth for a Giants defensive line that broke through for a six-sack performance against the San Francisco 49ers on Sunday.
Beckum, who tore his ACL last season during Super Bowl XLVI, is not ready to start practicing, according to Coughlin.
Beckum would add depth at tight end but the Giants seem to be doing just fine with free-agent pickup Martellus Bennett.
PHILLIPS UPDATE: The Giants appear to be taking a cautious approach with Kenny Phillips (knee). They will wait until Tuesday before making a determination on how much he can do during practice this week.
“He’s going to get some more opportunities to practice,” Coughlin said. “I don’t know how far we can go with him. We’re going to have to, again, asses where he is, and that determination probably comes Tuesday afternoon.”
Phillips suffered an MCL injury and has sat out the past two games.
DIEHL ROLE UNCLEAR: Lineman David Diehl had started all 142 regular season games with the Giants prior to Sunday’s game against San Francisco.
The veteran was activated on Sunday after having missed three weeks with an MCL injury. The Giants opted to start Sean Locklear at right tackle and Will Beatty at left tackle with the line playing well.
So instead of lining up at tackle, Diehl played 13 snaps as jumbo tight ends.
Coughlin said Diehl did “OK” on Sunday.
“He came into the game and it was good for him to play, it was good for him to work and be in the competitive aspect of it,’’ Coughlin said. “I think it answered a lot of questions for him.”
But Coughlin was noncommittal when asked if Diehl would return to his starting role on Sunday against Washington.
“I haven’t thought about that just yet,” the coach said.