Gearbox Software announced that the teaser will be available to First Access Club members from June 3, one week before the game's international release.
Users can become a First Access Club member by pre-ordering the title at select retailers or purchasing Borderlands: Game of the Year Edition.
First announced by 3D Realms in 1997, the first-person shooter was cancelled in 2009 before 2K Games and Gearbox Software rescued it last year.
The studio recently revealed that the game, which was originally scheduled for May, will be delayed by one month.
Duke Nukem Forever will be available on Xbox 360, PlayStation 3 and PC on June 10 in Europe and June 14 in North America.
> Read our hands-on preview of Duke Nukem Forever
Watch the demo announcement video for Duke Nukem Forever below: