Story highlights Rudy Giuliani and Chris Christie wouldn't rule out pursuing a special prosecutor

Both Trump allies are rumored to be under consideration for positions, including attorney general

(CNN) Rudy Giuliani and Chris Christie -- two Donald Trump loyalists rumored to be under consideration for top law-enforcement positions in the incoming administration -- demurred Thursday when asked about the President-elect's resolve to follow-up on his campaign promise to put Hillary Clinton in jail.

"I think it's a tough decision," Giuliani told CNN's Chris Cuomo on "New Day." "I think it's a tough one that should be given a lot of thought and shouldn't be an off-the-cuff answer. Equal administration of justice is one of our most important principles."

He added: "It's been a tradition in our politics to put things behind us. On the other hand, you have to look at how bad was it? Because suppose somebody comes along a year from now and is alleged to have stolen $50,000 from a charity -- and (Clinton) was never investigated for hundreds of millions."

Giuliani told Cuomo he isn't interested in returning to government, but when asked whether he would accept the position of attorney general if it came with the condition of not going after Clinton, he said, "I think that's a presidential decision."

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