Dowd, who represented Trump from June 2017 until his resignation on March 22, 2018, was responding to a Times report from Friday that the FBI opened the investigation into Trump in the eight-day window in May 2017 between the firing of James Comey as FBI director and the appointment of Robert Mueller as special counsel.
"I never worked for Russia", Mr. Trump told reporters on the snowy South Lawn of the White House.
Baker was discussing a meeting between several senior FBI officials prior to the investigation, which has not resulted in any publicly-known evidence supporting the idea that Trump was acting on behalf of Russian interests when he fired Comey.
It wasn't the weekend that President Donald Trump wanted: largely alone at the White House, irked by a pair of startling Russian Federation headlines and baffled that he's not getting more credit for staying put during the partial government shutdown.
In a phone interview Saturday night, the President was asked if he ever worked for Russian Federation after the Times reported the Federal Bureau of Investigation started the probe following the firing of James Comey.
"When I see Lisa, and her lover, and their notes, and their texts get captured and you see what they said about me having nothing to do with investigation", Trump said.
"I want to find out a little bit more about what happened there", said Senator Ted Cruz, on NBC's "Meet the Press".
Trump said the question was "insulting, " but did not directly deny it.
On Sunday, Cruz told NBC's "Meet the Press" that the media's focus on special counsel Robert Mueller's probe into Russia's campaign to disrupt the 2016 USA presidential election is just another example of the disconnect between most of the nation and its capital.
Comey's firing and Trump's remarks shortly after were the catalyst for the counterintelligence investigation, The Times reported.
Trump has repeatedly denounced the Mueller investigation as a "witch hunt", denying any collusion with Russia's attempt to sway the 2016 election.
In Saturday's interview, Trump avoided giving a direct answer when asked if he now is or has ever worked for Russian Federation.
Current and former U.S. officials told the paper that Trump's efforts include confiscating the notes from his interpreter and not allowing them to discuss the details of the meetings with other officials in his administration.
Lawyers from two house committees will meet today to discuss subpoenaing the interpreter who sat in on Trump's closed-door talks with Vladimir Putin in 2017.
White House press secretary Sarah Sanders issued a statement calling the Post story "so outrageously inaccurate it doesn't even warrant a response". Rather he has done what appears to be Putin's goals: "He has helped Putin destabilize the United States and interfere in the election - no matter whether it was purposeful or not, and that is part of what the draft of Mueller's report, I'm told, is to be about". "I have relationships with nearly everybody and that's a good thing not a bad thing", he said.