The ad launched this week. It encourages readers to take a pill that will make you access "100% of your mind". It is accompanied by a warning about its side effects, which include "brain damage" and "irreversible coma".
In the film, Cooper plays an unsuccessful writer who is transformed by Clear Pill, a revolutionary new pharmaceutical, which allows him to use 100% of his mind and become a perfect version of himself.
IM2M has launched the campaign on Tube carriage panels, the natural home of long-copy, mind-and-body-enhancing advertisers.
A spokesman for M2M said: "Based on the power of the Clear Pill as an idea in itself, M2M has created a campaign that makes Clear Pill the hero of the campaign, behaving like a disreputable pharmaceutical company."
The ad uses a photo of Bradley Cooper holding a pill and the strapline that drives readers to a website where they can access early tickets for film screenings.
The campaign is supported by in-game advertising on Xbox, messages on the Men's Health website, a Facebook page, and national press teasers.
According to M2M, the teaser has seen 1,000 tickets for the first round of screenings sell out after the first official day of activity.