Creative director Ken Levine told Play that he won't add motion-controller support to a game for which it doesn't make sense.
"I'd never want to throw in Move support just because it's going to make some first party happy or because some marketing department wants it on the box because, at the end of the day, gamers know," he said.
"If you don't have anything special to say about that control device gamers are going to know."
He continued: "Do you want to play BioShock and it's like, 'okay, do you want to harvest or save Little Sister? Waggle left to harvest, waggle right to save!' You can have Move support on your box but people are going to know you're cheating them."
Levine said that 3D functionality is "a bit different" since it's a passive feature that can be easily implemented and will be considered for the game.
"It's something I'd be more open to," he said. "I'm not saying whether we're doing that or not but it's sort of a passive integration. Unlike movies, you don't just shoot it differently. Games are 3D.
"But I think if you're going to get out, front and centre on something, you have to be able to say you're doing something special with it. Especially with a control device."
Announced last year, BioShock Infinite will be released on multiple platforms in 2012.
> Click here to read our preview of BioShock Infinite