(CNN) The day after the Trump administration blocked a diplomat from attending his scheduled deposition, Secretary of State Mike Pompeo said his department and the White House would fulfill their legal and constitutional requirements in the House impeachment inquiry.

"I've made clear, I think the White House has made very clear, we will ensure that we do everything that we're required to do by the law and the Constitution. Every time," he told "PBS NewsHour" on Wednesday.

But Pompeo's comments, coming amid a week of silence from the rest of State Department on all matters related to the impeachment inquiry, offered little clarity as to whether the department will allow its diplomats to cooperate with the probe.

In a separate interview Wednesday on "America This Week with Eric Bolling," Pompeo suggested the response to the impeachment inquiry would be guided by the administration's lawyers and that the State Department would take its cues from the White House.

"The White House made a decision yesterday: They issued an extended letter talking about this process that the House is engaged in, making clear that the White House's view is that this is not a legitimate impeachment proceeding," he said. "We'll take our guidance from them in terms of how we respond, but I've also made clear to my team here at the State Department: We have a mission. We still have a mission in Ukraine. We still have objectives."

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