The Academy of Motion Picture Arts and Sciences, which stages the Academy Awards ceremony, held a screening for voters on July 21 in Beverly Hills.
The reaction is said to have been mixed-to-negative, with one Academy member telling The Hollywood Reporter: "People were kind of disappointed.
"It wasn't because of [Colorado]. I just don't think that this picture will get any nominations [beyond technical nods]."
Another audience member at the screening claimed: "There was nothing remarkable about the acting... I don't think it can be nominated as 'Best Picture'."
The disappointment was also noted by Academy member and novelist Bret Easton Ellis, who tweeted: "Not that it really matters, but there was zero love for The Dark Knight Rises at the packed academy screening in Los Angeles tonight."
The film has proved a huge box office success, although much of the attention surrounding the release has focused on the tragic shootings at a screening of the film in Aurora, with many premieres and publicity events cancelled out of respect.
The shortened promotional tour led Christian Bale to take the opportunity to personally visit victims of the shootings in hospital.
Watch Christopher Nolan discuss The Dark Knight Rises with Digital Spy below: