The Canaries, recently relegated from the Premier League, have visited the Kenny in each of the last two pre-season campaigns so will be familiar visitors.
They also have several former Town youngsters in Daniel Farke's squad, with full-backs Max Aarons, Jamal Lewis and centre-half Akin Famewo having started off in the Luton Town academy.
The tie is due to take place on Saturday 5th September, but may be brought forward to August 29th due to international call-ups. Keep checking club channels for details in due course.