For months, there's been speculation that Heineman would apply for the job following the departure of James B. Milliken.
Until recently, he shrugged off the suggestion, but now he has indicated interest in the position.
Heineman said Tuesday in Grand Island, "As I really got into what the president does, for me it would be an opportunity to focus on the two things I care about, education and jobs. But again, we're very close to finalizing that decision."
Heineman has called a news conference for Wednesday morning on the topic of education. He is in his tenth and final year as governor.