Story highlights "I just don't think it's useful to be doing investigation after investigation, particularly of your own party," Paul said.

"We'll never even get started with doing the things we need to do like repealing Obamacare if we're spending our whole time having Republicans investigate Republicans," he added.

(CNN) Republican Sen. Rand Paul said Tuesday an investigation into the resignation of former National Security Adviser Michael Flynn would be excessive and it would not make sense to investigate other Republicans.

"I think that might be excessive. It looks like the President has handled the situation, and unless there's some kind of other evidence of malfeasance, this sounds like something that was internal White House politics and it looks like the President's handled it," Paul told the "Kilmeade and Friends" radio show.

Flynn resigned Monday evening amid revelations that he misled Vice President Mike Pence about conversations he had in December with Russia's ambassador to the US about sanctions placed on Russia. Pence had defended Flynn on television and denied he discussed sanctions after initial reports of the conversations.

And while several other Republican senators have called for investigation of the incident, Paul said it would not make sense to have more investigations, especially of fellow Republicans.

"I just don't think it's useful to be doing investigation after investigation, particularly of your own party. We'll never even get started with doing the things we need to do, like repealing Obamacare, if we're spending our whole time having Republicans investigate Republicans. I think it makes no sense."