CBS News obtained a letter from the Justice Department to the attorney representing Yates.
In his Tuesday briefing, press secretary Sean Spicer said the White House did not weigh in on whether Yates could testify.
Yates' lawyer said she still meant to testify and would not disclose any classified information.
Last week, Ivanka Trump received her own office in the White House along with access to classified information and a government-issued phone. Canceling the hearing was one of several moves that have sparked criticism from Democrats on the committee. "I have no doubt that that's going to happen very quickly", he said as he welcomed senators and their spouses from both parties to a make-nice reception at the White House. Nunes told reporters, rebuffing Democrats.
"I can't overlook if the chairman of our committee is going to freelance in this way", Schiff said.
Ben Rhodes, a former national security aide to President Barack Obama, tweeted that Nunes' contention that no Trump aides knew he was on campus was "literally impossible" because "you can't get into the WH if someone doesn't clear you in". "But at this time, at this time today, there are other things that we have on our priority list that we're moving on to". "It looks like he is now working with the White House instead of showing the independence that we need to show". "But we would urge that the open hearing be rescheduled without delay and that Ms. Yates be permitted to testify freely and openly".
Already at odds with President Trump, Pennsylvania Congressman Charlie Dent has waded into the fraught investigations into Russia's meddling in November's election, saying his House colleagues are "paralyzed" and calling on the Senate to take the lead in the inquiry. The Post has published the letters.
Democratic strategist David Axelrod said Thursday that possible ties between President Trump's campaign and Russian Federation could become a "major crisis" for his administration.
Pence repeated the false information when asked about the situation in January, prompting Yates to inform the White House that Flynn may have misled Pence and other senior officials about his communications with Kislyak. Flynn was ousted after those discrepancies were made public.
The hearing would have been another public airing of the infighting within the committee.
As GOP schism grows, Trump attacks fellow Republicans
Ryan repeated that "90%" of his caucus is for the health care measure, but would not commit to a timeline on holding another vote. The Republican leadership in the House of Representatives avoided to take sides, but offered lukewarm support for Trump.
The Beltway obsession of the moment is whether the chairman of the House Intelligence Committee will recuse himself from the investigation into ties between Trump associates and Russian Federation and whether there was improper government surveillance.
UPDATE: Count Elijah Cummings (Md.), ranking Democrat on the House Oversight and Government Reform Committee, among those fed up with Nunes.
"I heard my friend from California (Democratic Rep. Adam Schiff) mention an independent commission", Rep. Trey Gowdy, R-S.C., said Sunday on CBS' "Face the Nation". But investigations are continuing into that very question.
Republicans will block all of that, you say?
Writing legislation via the committee process not only lets rank-and-file members offer ideas and vote on potential changes, it gives committee chairmen the chance to shape bills.
"Chairman Nunes met with his source at the White House grounds in order to have proximity to a secure location where he could view the information provided by the source", Langer said Monday, according to the Associated Press.
Nor would he disclose who invited him on the White House grounds for the meeting.
US attorneys are investigating Deutsche Bank, President Trump's largest single lender, for laundering Russian funds.
"In some quarters, that would be considered an act of war", Cheney said in a speech Monday at a conference in New Delhi.
It's one of three separate nonprofits stocked with former Trump advisers that say they want to promote the president's agenda.