(CNN) Republican Sen. Lindsey Graham of South Carolina told CNN on Tuesday that President Donald Trump asked him while they were playing golf over the weekend: "You wouldn't want to be attorney general, would you?"

Graham, who's positioned himself as vocal Trump ally on Capitol Hill, said he responded: "No, I wouldn't give this up for anything."

Trump responded, according to Graham: "Yeah, I didn't think so -- that would be kind of stupid."

Graham, laughing, described Trump as joking when asking the question.

Former South Carolina Gov. Nikki Haley announced Tuesday that she was stepping down as US ambassador to the United Nations at the end of the year , leading some to speculate that several top Cabinet-level officials could rotate or leave their position to fill the vacancies.

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