(CNN) When former FBI lawyer Lisa Page and former FBI agent Peter Strzok discussed a so-called "insurance policy" involving then-candidate Donald Trump and the Russia investigation in 2016, they were discussing how quickly to proceed with the probe, Page told lawmakers last year.

Page told House lawmakers in a closed-door interview that the text message about an "insurance policy" if Trump won the 2016 election — which Republicans have cited to point to the anti-Trump bias the investigators exhibited — was a reference to the fact that the FBI's counterintelligence investigation into whether members of Trump's team were colluding with Russia would take on a greater significance if he was in the White House.

"If he is not elected, then, to the extent that the Russians were colluding with members of his team, we're still going to investigate that even without him being President, because any time the Russians do anything with a US person, we care, and it's very serious to us," Page said.

"But if he becomes President, that totally changes the game because now he is the President of the United States," she continued. "He's going to immediately start receiving classified briefings. He's going to be exposed to the most sensitive secrets imaginable. And if there is somebody on his team who wittingly or unwittingly is working with the Russians, that is super serious."

Page was speaking to the House Oversight and Judiciary Committees as part of last year's Republican-led investigation into the FBI and Justice Department's handling of the investigations into Hillary Clinton and Trump and Russia.

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