Representatives Devin Nunes, chairman of the House of Representatives Permanent Select Committee on Intelligence, and Adam Schiff, the panel's top Democrat, have called FBI Director James Comey and NSA Director Admiral Mike Rogers to testify as part of their committee's probe into allegations that Russian Federation meddled in USA elections.
Nunes has said that the intelligence committee probe focuses in part on who revealed the fact that Flynn had unreported private contacts with the Russians over the issue of worldwide sanctions against Moscow - a disclosure which led to his forced resignation as Trump's national security adviser.
Lawmakers are also eyeing former national security advisor Michael Flynn as another potential point of conflict.
But Representative Jason Chaffetz, chairman of the House Committee on Oversight and Government Reform, said that he had yet to see any evidence of wiretapping.
"I do think it's important that we look at the broader context here", Cotton said on CNN's "State of the Union" with Jake Tapper.
Collins also was asked about whether she can take Trump "at his word".
Nunes also said ahead of Monday's hearing he had seen "no evidence" of collusion between Russian Federation and Trump's team.
The top Democrat on the House Intelligence Committee, Adam Schiff, said Comey would be asked about wiretap evidence at a rare public hearing next Monday.
Several congressional panels have launched investigations into Russia's alleged interference, including the House and Senate intelligence committees, which have jurisdiction over the nation's 17 intelligence agencies, and the House and Senate judiciary committees.
The U.S. intelligence community has already concluded Russian Federation meddled in the 2016 presidential race - in which computer emails from the Democratic National Committee and related to the campaign of Democratic presidential nominee Hillary Clinton were stolen and made public.
Trump is facing increased pressure in Congress to back down from the wiretapping claims he made on Twitter March 4.
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The Arkansas Republican also called for the defeat of ISIS, but said the USA needs to counter Iran, whose activities he blamed, in part, for the rise of ISIS. "All we did was quote a certain very talented legal mind who was the one responsible for saying that on television".
But the hearing could become heated as Republicans balance support for their party's leaders and Democrats vent frustration over Republican congressional leaders' refusal to appoint a special prosecutor or select committee to investigate.
Flynn was forced to resign last month after media reports revealed he had misled Vice President Pence and other senior officials about the discussion of US sanctions in a December phone call with Russian ambassador Sergey Kislyak.
Even White House press secretary Sean Spicer, who has been doing verbal somersaults in response to an avalanche of questions at his daily news briefings, seems to have thrown up his hands.
"I was surprised to see Director Clapper say that because I don't think you can make that claim as categorically as he did", Schiff said.
"I am concerned that this hearing will not be quite as instructive as a lot of us and a lot of Americans would want because so much of the information lives in a classified world", Himes said.
Cotton, a veteran and member of the Senate Armed Services Committee, also touched on major military issues in the news.
"The response from Spicer lasted approximately nine minutes and involved the press secretary repeating the accusation of possible links between the Trump campaign and Russian Federation, which the intelligence committees have not said they have evidence to support".
During a Friday news conference with German Chancellor Angela Merkel - whose phones had been tapped by the Obama administration - Trump told his guest: "As far as wiretapping, I guess by this past administration, at least we have something in common, perhaps".
"The one crime we know that's been committed is that one", he said.