The Looper helmer has been mentioned in several commentators' lists of desired candidates for the job, which is still yet to be officially filled.
Johnson told Digital Spy that while he would find the job hard to turn down, he is unlikely to be in consideration and prefers to continue focusing on more independent work.
"I don't think I'm on those sorts of lists," Johnson said. "On the one hand, it's Star Wars, it would be very hard to say no to.
"On the other hand, for me, I'm really enjoying just writing my own stuff, and right now that's what I'm doing, I'm writing another original screenplay now, and we'll figure out how to get it made.
"That's sort of what I'm in it for, is telling my own stories, and seeing if we can strike out on some new ground. So, luckily I don't think it's a problem that I'll have to deal with!"
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Copyright: WENNJohnson went on to expand on his next project, hinting: "It is sci-fi, but it's very different than Looper.
"It's still all coming together, I'm still chewing on it. I'm a pretty slow writer, but I'm working on it bit by bit."
Looper will be released on DVD and Blu-ray on January 28.
Watch Rian Johnson discussing Looper with Digital Spy below: