White House press secretary Sarah Huckabee Sanders said that Cobb had been discussing the decision for weeks and would retire at the end of May and that Flood would be joining the White House staff to "represent the president and the administration against the Russian Federation witch hunt".
Flood advised Clinton in impeachment proceedings in the late 1990s brought by the US House of Representatives and tried before the US Senate, where Clinton was acquitted.
Flood was always the top choice of White House counsel Don McGahn for the job Cobb was given last summer, according to a person familiar with the hiring decision who described Flood as a "fighter".
Cobb told The Post that he was "deeply grateful" to Trump "for the opportunity to serve my country".
The news was first reported by The New York Times.
White House lawyer Ty Cobb, who repeatedly urged cooperation with special counsel Robert Mueller and assured the president such a strategy could shorten the investigation, announced he would leave his post at the end of the month.
The idea that Trump has suddenly got tough might strike some on Mueller's team as ironic given the months of vitriolic tweets aimed their way. He was not going to be "part of a mud-slinging campaign", one of the sources added. Despite the president saying after that meeting that no changes to his legal team makeup were coming, things have now changed.
The latest upheaval of the president's legal team comes as the president has adopted an increasingly hostile posture toward the special counsel, whose investigation has expanded into an examination of whether Trump obstructed justice.
The White House confirmed Wednesday that Ty Cobb is leaving President Donald Trump's legal team.
Like many veterans of the meandering, years long Clinton investigation, Mr. Flood has told people he is wary of special counsel inquiries, the daily said. McGahn has been reluctant to set an exit date, even as he has acknowledged to friends that he could leave the White House at some point later this year.
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The President is also escalating the political heat around the Mueller investigation, seeking to rile up supporters, who he has been priming for months as a firewall against any eventual impeachment fight.
Flood has experience in the highest of high-profile white collar cases.
Cobb took the lead of the White House team after the previous lead lawyer, John Dowd, quit in March convinced that Trump was not following his advice.
Given the escalating stakes, Trump's tweets on the Mueller probe Wednesday were particularly intriguing.
Citing national security concerns, Giuliani suggested that having Mueller interview Trump for his ongoing Russian Federation investigation before the summit could have a negative impact and derail the progress in North Korea relations.
"I can't possibly tell the president or Gen. [John] Kelly or Mike Pompeo, or John Bolton, give me two days to prepare for a bulls-t interview that should never be taking place anyways". Trump attorney Jay Sekulow declined comment as well.
"It clearly is crunch time with regards to the Mueller investigation", former Defense Secretary and CIA Director Leon Panetta told CNN's Wolf Blitzer on "The Situation Room" on Wednesday.
"People will think this means we're going to war, but I would not read that into this", he added. "This isn't any different, it's just because of the timing", she said on CNN's "Erin Burnett OutFront".
That is unlikely to satisfy Mueller, especially if the list of questions drawn up by Trump's legal team and published in The New York Times represents an accurate picture of what he wants to ask. He was a clerk for Associate Supreme Court Justice Antonin Scalia.
It was not immediately clear in what context the possibility of a subpoena was raised or how serious Mueller's prosecutors were about such a move. But some of the President's legal advisers are gambling that Mueller would not go that far.