(CNN) - Janet Napolitano just started her first Washington job - but speculation lingers over whether she might be interested in a more permanent post in the nation's capital.
The Homeland Security secretary continued to shrug off questions Sunday over whether or not she'd be willing to serve on the Supreme Court if she were tapped by President Obama to fill the vacancy left by the retirement of Justice David Souter.
"You know Chris, I got to tell you, I got my hands full with the flu right now and I’m just going to stick with that," she told Fox News Sunday's Chris Wallace.
Under further questioning, she didn't clarify. "The president has many, many excellent choices before him. And that’s his choice," she said.
The former Arizona governor has long been considered by some political observers to be a possible pick for the high court. On Friday, she also did not indicate whether or not she would consider serving on the high court.
“I’m fully engaged as the Secretary of Homeland Security,” she told reporters. “In fact, I hadn’t heard that he’d actually resigned so you just broke some news for me today.”