Cohen has worked for Trump since the mid-2000s and was active in the campaign.
Former FBI director James Comey testified last week that soon after he was sacked in mid-May, he asked a friend to share the contents of a memo in which he described a conversation with President Trump that Comey had found troubling.
Those officials are Dan Coats, the director of national intelligence, Michael Rogers, the head of the National Security Agency and Richard Ledgett, the former NSA deputy director, according to reports.
US intelligence officials have also told reporters that in December, Kushner attempted to set up a secret backchannel to Russia with the assistance of Russian ambassador Sergey Kislyak.
CORNISH: Now, if the president is so down on Mueller, why not fire him?More news: Verizon completes $4.5bn acquisition of yahoo
Citing a memo from the general counsel's office of Trump's transition team, the Times said former members were given the order on Thursday for any information involving Russian Federation or Ukraine in the latest sign of the investigations' expanding reach.
Amid stirrings earlier this week that Trump was possibly considering the idea of firing Mueller, it was Rosenstein who testified before a congressional hearing that such an act could not be taken without specific cause. In the early stages of investigations, FBI agents typically want to gather all the facts.
Mueller's friendship with Comey and Mueller's selection of several investigators who have made campaign donations to Democrats are among the issues Gingrich is raising as problematic.
"Trump advisers and confidants describe the president as increasingly angry over the investigation, yelling at television sets in the White House carrying coverage and insisting he is the target of a conspiracy to discredit - and potentially end - his presidency", the AP reported. "The FBI leak of information regarding the President is outrageous, inexcusable and illegal", he said.
Mr Trump also tweeted that no-one had been able to show any proof of collusion with the Russians.More news: Rangers' expansion draft protected list released with no surprises
"When I chose to just do it, I said to myself - I said, 'You know, this Russian Federation thing with Trump and Russian Federation is a made-up story, '" Trump told NBC. "Yes, it's just like the Salem witch trials, when those young women were accused of witchcraft and then said, "We did witchcraft" in an interview with Lester Holt", he said. "He's the wrong man for that position".
Writing on Twitter, he claimed: "Mueller is focusing on crimes that occurred in the White House". Moscow also refuted the allegations of interfering in the 2016 presidential election and called them absurd.
'Obsession': Trump's tweets come as Politico weighs in with another story saying that Trump aides are anxious that the president's "obsession" with the Russian investigation is consuming his presidency.
Yesterday, after US President Donald Trump denied obstruction of justice allegations made against him within the investigation into his relationship with Russian Federation and for firing Comey, today (Friday), Trump is painting a different picture.
Mueller is a former head of the Federal Bureau of Investigation. He was also given the authority to investigate obstruction.More news: Putin warns new sanctions will 'complicate' ties between Russia and US
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