"I really - If I were the president, I would be welcoming this investigation", Rubio said.
But Jay Sekulow, part of Trump's legal team, said the president was writing about reports of an investigation, not an actual probe.
Trump had tweeted: "I am being investigated for firing the FBI Director by the man who told me to fire the FBI Director!"
Australian Kirsty Boden confirmed dead in London terror attack
Frenchman Sebastian Belanger has also not been seen since Saturday. "I am ripped apart knowing she died, it's destroying me". Ms Gonçalves earlier told Fairfax Media she was separated from Ms Zelenak as they desperately ran away from London Bridge .
The president has denied that he has any nefarious ties to Russian Federation and has also disputed that he's attempted to block the investigation into his campaign's possible role in Russia's election-related hacking.
This is published unedited from the IANS feed.
"He said that if, in light of all of this, the removal of James Comey would lengthen the amount of time that this investigation would take - he thought it was in the best interest of the American people", he concluded. He said he had only been discussing the constitutional problem posed if the president were being investigated.
On Friday, the president issued a tweet that seemed to confirm the Washington Post report. "I don't believe it's going to happen".
Speaking on CBS's Face the Nation, he said: "The fact of the matter is the president has not been and is not under investigation".
1 arrested after vehicle strikes pedestrians in London
The incident comes at a time when emotions are high in the United Kingdom , in the wake of a series of deadly terrorist attacks. A group of men huddled together to condemn the "terror attack" outside the mosque, where people had been engaging in Ramadan .
The president suggested on Twitter that he may have taped those conversations.
In a two-part tweet posted before 7 a.m. Sunday, Trump wrote: "The MAKE AMERICA GREAT AGAIN agenda is doing very well despite the distraction of the Witch Hunt". "So here's what you have", Sekulow said. Angus King, an independent from ME, stressed that the probe will likely last for a long time.
"These investigations continue to move forward", Rubio said.
Rubio also appeared on CNN, where he was asked by the secretive nature of the Senate's health care bill. "And it hasn't impeded the work of the Senate Intelligence Committee".
Trump returned to the White House on Sunday after spending Father's Day weekend at the Camp David presidential retreat.
European Central Bank leaves base interest rates unchanged
While few expect that to happen, the words underline that the bank is not yet willing to call time on the stimulus program. The euro-area economy grew faster at the start of the year than previously estimated as domestic demand bolstered output.
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