The transcript of the exchange between Senator Leahy and former White House political director Sara Taylor is copied from the link above:
Leahy: And then you said, I took an oath to the President, and I take that oath very seriously. Did you mean, perhaps, you took an oath to the Constitution?
Taylor: Uh, I, uh, yes, you're correct, I took an oath to the Constitution. Uh, but, what--
Leahy: Did you take a second oath to the President?
Taylor: I did not. I--
Leahy: So the answer was incorrect.
Taylor: The answer was incorrect. What I should have said is that, I took an oath, I took that oath seriously. And I believe that taking that oath means that I need to respect, and do respect, my service to the President.
Leahy: No, the oath says that you take an oath to uphold and protect the Constitution of the United States. That is your paramount duty. I know that the President refers to the government being his government -- it's not. It's the government of the people of America. Your oath is not to uphold the President, nor is mine to uphold the Senate. My oath, like your oath, is to uphold the Constitution.