The committee is not receptive to the offer “at this time,” The Hill reported citing NBC.

The panel's investigation into Russian interference in the election is ongoing, and the decision does not necessarily rule out such a deal in the future.

Committee Chairman Richard Burr earlier in the week strongly implied that Flynn would be a potential witness before the committee — telling reporters that "you would think less of us" if the committee had not talked with him.

Flynn, a former intelligence official, was ousted in February after the revelation that he misled Vice President Pence about conversations he had with Russian Ambassador Sergey Kislyak.

The Senate Intelligence Committee has made requests to 20 individuals to be interviewed in connection with the investigation, Burr said.

Read alsoTrump son-in-law met executives of sanctioned Russian bank, will testifyAmong the interviewees, only Jared Kushner, Trump’s son-in-law and senior adviser, has been publicly identified.

It is common for witnesses to ask for immunity in exchange for testimony. Congress can grant such protections, but lawmakers typically do so only after consulting with the Justice Department, to avoid disrupting a federal investigation.

Read alsoFlynn offers to Testify before Congress in exchange for immunityFlynn’s lawyer has provided few details about what testimony he might provide but said in a statement that “no reasonable person, who has the benefit of advice from counsel, would submit to questioning in such a highly politicized, witch-hunt environment without assurances against unfair prosecution.”