Lawyers there had previously told the White House that the idea was unfeasible and a misuse of funds.
The president last week said people do not care about his tax returns and repeated that he would release them except that they are being audited by the IRS, but offered no evidence of the agency's review.
President Trump confirmed in a tweet on Friday that he was strongly considering the idea. It was initially rejected after lawyers for the Department of Homeland Security said it was illegal.
House Judiciary Committee Chairman Jerrold Nadler, D-N.Y., on Sunday cited Miller's role in developing the targeted-release plan in calling on him to testify.
The proposals come amid a larger effort by the White House to restrict both legal and illegal immgration, and signal that the Trump administration is continuing to broaden its focus on immigration beyond the southern border.
While the U.S. Constitution does not make mention of the power of executive privilege, the Supreme Court has ruled that the privilege extended to the president and other executive branch officials can be a constitutional exercise of their powers under the separation of powers model. Homeland Security officials say he has pressured agencies to take firmer action to fight the recent surge of migrants massing at the border.
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Sanctuary cities are local jurisdictions that generally refuse to use their resources to help enforce federal immigration laws against undocumented immigrants that could lead to deportations.
"The Committee's request raises serious issues concerning the legislative goal and the constitutional rights of American citizens", he added.
"We'll have to see what happens on that front", she said. This has nothing to do with whether or not they're going to determine policy. "He has to be held accountable".
In the last Congress, the Committee of Ways and Means issued a formal report concerning a House resolution of inquiry seeking information substantially similar to the information you request.
"This is a risky, unsafe road and frankly, Chris, I don't think Congress, particularly not this group of congressmen and women, are smart enough to look through the thousands of pages that I would assume that President Trump's taxes will be", she told Chris Wallace on Fox News Sunday.
With the "collusion" and "obstruction" narratives largely derailed since Attorney General William Barr issued his summary of the special counsel's final report, Democrats have been putting more focus on another years-long line of attack on President Trump: his tax returns.