Treasury Secretary Timothy F. Geithner has signaled to White House officials that he’s considering leaving the administration after President Barack Obama reaches an agreement with Congress to raise the federal debt limit, according to three people familiar with the matter.

Geithner said speculation about his departure was being driven by his decision to commute to New York so his son can finish his final year of high school there.

“I live for this work,” he said at the Clinton Global Initiative in Chicago. “It’s the only thing I’ve ever done. I believe in it. We have a lot of challenges as a country. I’m going to be doing it for the foreseeable future.”