And what he had to say may have angered his client.
Cohen has admitted making a $130,000 payment to Daniels days before the election.
"He certainly believes that he has the power to do so", she said at Tuesday's (Wednesday NZT) press briefing. The White House has denied her allegations.
Stormy Daniels is cooperating with federal investigators, according to a source familiar with the investigation.
Republican Senators Thom Tillis of North Carolina and Lindsey Graham of SC and Democratic Senators Chris Coons of DE and Cory Booker of New Jersey planned to introduce legislation on Wednesday (Thursday NZT) that would give any special counsel a 10-day window in which he or she could seek expedited judicial review of a firing, according to two people familiar with the legislation. Federal Bureau of Investigation agents confiscated electronic devices and documents related to attorney-client matters.
The women claim they had affairs with the president, as well as information on the role of the publisher of the National Enquirer in keeping one of the women quiet.
The person familiar with the investigation, who wasn't authorized to discuss it and spoke on condition of anonymity, said the probe by the public corruption unit of the U.S. Attorney's office in Manhattan is trying to determine if there was any fraud related to the payments.
On Twitter on Wednesday, Trump took a shot at Rosenstein, as he complained about what he calls the "Fake & Corrupt Russia Investigation". The raid on Monday came by way of a tip from special counsel Robert Mueller.More news: Game Ejections Follow Bench-Clearing Brawl At Coors Field
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McConnell was pressed Tuesday on whether the Senate is doing enough to prevent the possibility of President Donald Trump firing Mueller.
On Capitol Hill, a bipartisan group of four senators moved to protect Mueller's job. "He should be allowed to finish the job he was assigned".
When asked if he would fire Mueller, Trump said, "We'll see what happens".
Agents also seized records related to a $130,000 payment made to Daniels, who says she had sex with Trump the same year as McDougal.
Search warrants are a fairly standard, though aggressive, law enforcement tool and are often sought in cases where authorities are concerned someone may hide or withhold evidence.
Under Justice Department regulations, Mueller must consult with Rosenstein when his investigators uncover new evidence that may fall outside his original mandate.
Trump's administration has set records for turnover in his 15 months in office at all levels, with Bossert marking at least the 13th official who held the rank of assistant to the president at the start of the administration to depart.
Instead of just going to your supervisor and getting your supervisor's approval and then going to the judge, you actually have to get the United States attorney himself, who is somebody appointed by President Trump who is overseeing the entire office.
Cornyn says he expects Mueller will be able to finish his probe of Russian interference into the 2016 election, and that his dismissal would have consequences "that not even the president can anticipate".