The White House also tried to quell a firestorm over its role in helping a top Republican lawmaker see secret intelligence reports.
Rep. Adam Schiff, the top Democrat on the intelligence committee, said Friday it was too early to say whether they would agree to Flynn's request, but put Flynn's offer in greater context.
Asked whether the White House is concerned about what Flynn might say to congressional investigators, Spicer said "nope".
WELNA: Well, you know, I think it's mainly to shift the focus from Russian Federation and Trump to the leaking of information, like the revelation that Flynn had these conversations.
The congressional committees and the Federal Bureau of Investigation are delving into allegations by US intelligence agencies that the Russian government hacked Democratic political organizations and individuals and leaked emails in an attempt to favor Trump, a Republican, in last year's presidential election.
A congressional committee, he added, has to balance the need to not interfere with a criminal investigation with its own interest in putting information out to the American public. The aide was not authorized to discuss private conversations and spoke on condition of anonymity.
Flynn's Justice Department filing last month raised questions when it revealed that Flynn's firm worked on behalf of a Turkish-owned company, Inovo BV, to improve U.S. confidence in Turkey's business climate.
U.S. president backs his former adviser Michael Flynn's move to ask for immunity if he were to testify.
The senators said that Flynn apparently failed to report to the Pentagon as required that he received more than $30,000 from Russian state broadcaster Russia Today in 2015 or that he'd served as a paid agent for Turkey in 2016, when he was serving as a senior Trump campaign adviser.
Schiff said committee leaders would be discussing the issue with their Senate counterparts and the Justice Department.
President Donald Trump has blasted a probe into his team's ties to Russian Federation as an opposition "witch hunt", defending his former top aide Michael Flynn's decision to ask for immunity in the case.
Online privacy changes sent to Trump
That's why if you've recently searched for shoes, you'll see a bunch of shoe ads pop up on your browser. Before the Trump administration, it had been usedjust once before, under former president George W.
MICHAEL FLYNN: When you are given immunity, that means that you probably committed a crime.
Using similar language, Flynn's attorney, Robert Kelner, said in a written statement late Thursday that his client had little recourse but to pursue legal protection.
House intelligence committee spokesman Jack Langer said Flynn has not offered to testify to the panel in exchange for immunity. They are thinking of granting him the immunity if he testifies at a congressional investigation about the ties.
Flynn has been himself accused of carrying the ties with Russian Federation before and after the election.
Another subplot of the Russian Federation story also appears to be rebounding to the detriment of the White House - indications that Trump aides worked closely with the House Intelligence Committee Chairman Devin Nunes at a time when his committee is investigating alleged Trump team links to Russian Federation. The FBI and the intelligence committees in the House and the Senate are each separately investigating the ties.
Kelner released a statement after The Wall Street Journal first reported that Flynn's negotiations with the committee included discussions of immunity.
Mike Flynn was sacked by Mr Trump in February for failing to disclose the contents of a phone call with the Russian ambassador in December.
On Thursday night, the Wall Street Journal broke the news that Flynn has offered to answer questions before FBI, Senate and House investligators in the ongoing probe of Trump's relationship to Russian Federation.
Four other Trump associates have come forward in recent weeks, saying they would talk to the committees.
SALTZBURG: (Laughter) In my experience, everybody takes the view that General Flynn took until they're under investigation and then, if they have a decent lawyer, they're going to claim the privilege against self-incrimination just as the people around Secretary Clinton did and just as General Flynn is going to do now.