Bush spoke at an event celebrating 25 years since the presidency of his father, George H.W. Bush. Parts of the interview were later broadcast on Fox News.
He also said he needed to consider how a bid for the White House would impact his family.
"I just don’t want to go through that until the right time," he said. "And it turns out that not running has generated more interest than if I said I was running. It’s kind of weird. I’m not that smart, I promise you, it just kind of happened that way."
Bush also weighed in on issues like immigration. He said that the U.S. needs to address its immigration system, and that undocumented immigrants haven't necessarily committed a felony, but an "act of love."