The 25-year-old has been in Norwich all day discussing personal terms and is poised to sign a four-year contract.
Norwich have been in the hunt for Hooper for some time, with manager Chris Hughton seeing several bids rejected in the January transfer window.
Hooper looked set for a move to Championship side QPR, with the Hoops understood to have agreed a fee in the region of £5.5m for the 25-year-old on Wednesday.
Hull City also missed out with their approach in June, and QPR agreed a fee of £5.5m with Celtic earlier this week, before the Canaries rekindled their interest in the player.
Asked about the former Scunthorpe striker in the wake of a 1-0 defeat by Portland Timbers, Hughton said: "We are still working very hard.
"It is very difficult for me with the eight-hour time difference, but even with the conversations I am having with the chief scout it is trying to find the right times. Nothing imminent, but we are still working."