The Hoops have brought in the Swedish shot-stopper on loan as back-up for first-choice Fraser Forster, subject to the 21-year-old being granted international clearance
The 21-year-old held talks with the Glasgow club over a loan move on deadline day after training with the SPL champions earlier on in the week.
The shot-stopper has one cap at senior level for Sweden and has previously spent time on loan with top-flight outfit Malmo.
All the necessary paperwork was delivered to the Scottish Football Association before Thursday's 23.00 deadline, although no confirmation has been given by the club yet.
Speaking about the move to Sky Sports, Noring said: "Celtic is a massive club, one of the biggest in the world so I would be mad not to jump at the chance to sign."