"I think it's likely General Flynn will be at some point asked to come and talk to the committee about both post-election activities and any other activities he may be aware of," Blunt told reporters.

Flynn stepped down Monday night amid reports that he misled White House officials over his conversations with the Russian ambassador to the U.S. during the transition period.

The Washington Post reported Monday night that the White House counsel had been warned that Flynn misled top figures when he said he didn’t speak with the Russian envoy about President Obama’s sanctions against Moscow in late December.

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Democrats want an independent commission to probe Flynn's talks with Moscow as part of a larger investigation into ties between Russia and the Trump team.

But Senate Republicans appeared to shoot that down Tuesday, noting the Intelligence Committee was already looking into Russia.

"I think the fundamental question for us is what our involvement in this and who ought to look it," McConnell told reporters.

Blunt added that the Intelligence Committee is "well on the way" to probing Russia and the Flynn issue could "fit" into that.