The 28-year-old's move as cover for the injured John Ruddy is subject to the relevant paperwork being completed.
"I'm delighted," Camp said on www.canaries.co.uk.
"It all came around pretty quickly and it turned out to be a pretty straightforward decision in the end. I'm really pleased to be here.
"It's a six-month deal which I think suits both parties pretty well.
"I think it would add a little bit of competition and hopefully I can add to the experience and competition already here."
Camp, who spent six months on loan at Carrow Road from Derby in 2006, has nine caps for Northern Ireland.
City boss Chris Hughton said: "Lee will give us some really valuable experience alongside Mark Bunn with goalkeeper John Ruddy still out injured for a while.
"He's a proven goalkeeper and he's at a good age. He of course knows Norwich well having had a loan spell here a few years ago and the deal until the end of the season suits all parties.
"He will bring increased competition and will also allow us the chance to search for a loan move for Declan Rudd to get him some good first-team experience somewhere."
Source: PA
Source: PA