WASHINGTON (CNN) -- The ranking Democrat on the Senate intelligence committee said Tuesday he doesn't believe that former national security adviser Michael Flynn's decision to invoke his Fifth Amendment rights gives him blanket immunity in terms of documents that might be relevant to his committee's investigation into Russian meddling in the US election.

Sen. Mark Warner said in an interview with CNN's Dana Bash at the Peterson Fiscal Summit that he respected Flynn's decision to invoke his right against self-incrimination but said they will have news later Tuesday related his panel's next steps.

"We are still pursuing vigorously, will have more to announce later today in terms of next steps," he said. "We respect anybody's right to take the Fifth Amendment but I don't believe that a request for documents" such as calendars or visas would be granted blanket immunity.

Warner reiterated his comments that if Flynn does not comply, he and Senate intelligence committee Chairman Richard Burr wouldn't rule out holding him in contempt of Congress.

On another important piece of the investigation -- the upcoming testimony of fired FBI Director James Comey -- Warner expressed confidence that his committee will get Comey's side of the story, despite the Justice Department's decision to appoint a special counsel to lead the FBI investigation.

"Mr. Comey wants to tell his side of the story and I'm glad he has chosen to do that with the Senate intelligence committee," Warner said.

Warner explained the importance of continuing the Senate investigation even in light of the Justice Department's decision.

"There may a series of cases where we have facts about people having contacts with Russians prior to the campaign and sharing of information that may fall short of legal collusion, but still be factual that we need to report to the American people in terms of our counterintelligence investigation."

Warner, a Virginia Democrat, also told Bash that if reports that Trump asked top intelligence officials to publicly deny evidence of cooperation between his campaign and Russia are true, Trump's requests would be "outrageous."

He added that the new reports have now demonstrated a pattern.

"Anybody who gets close to this investigation loses their job or ends up in a difficult position," he said, before listing Flynn, Comey, fired acting Attorney General Sally Yates and Attorney General Jeff Sessions.

The Virginia senator explained that "this is an administration who says 'there is no there, there.' They are not acting like there is no there, there."

Warner pointed to reports that Trump called Comey a "nut job" in an Oval Office meeting with top Russian officials, saying the comments were "outrageous."

"I don't care where you stand on the political spectrum," Warner said. "This is just not the way an American president should act."

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