Story highlights Trump has come under fire for allegedly sharing highly classified information with Russia

The White House has refused to confirm or deny that classified information was shared

Moscow (CNN) Russian President Vladimir Putin has offered to provide a transcript of a controversial Oval Office meeting between President Donald Trump and Russian Foreign Minister Sergey Lavrov, raising the stakes in an affair that has sent the White House into a tailspin.

Speaking at a press conference in Sochi, Russia, Putin dismissed allegations that Trump had shared top-secret security intelligence with Russian diplomats as "political schizophrenia."

"If the US administration finds it necessary, we are ready to provide the record of the conversation between Trump and Lavrov to the Senate and Congress," Putin said.

The intervention by Putin could turn up the pressure on the White House to provide its own transcript of the meeting. The Senate intelligence committee has already demanded a briefing on what was said at the meeting from members of the Trump administration who were present.

The episode is the latest woe for Trump, whose administration is engulfed in a series of scandals linked to Russia. His meeting with Lavrov and Russian Ambassador Sergey Kislyak came a day after Trump fired FBI director James Comey , the man leading an investigation into contentious links between members of the President's campaign team and Russia.

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