Washington (CNN) Counselor to the President Kellyanne Conway argued Thursday that there was "nothing new" in the first public hearing of the impeachment inquiry -- despite the top US diplomat in Ukraine revealing a previously unknown conversation involving President Donald Trump that more directly ties the President to the scandal.

She dismissed top US diplomat in Ukraine Bill Taylor's sworn testimony about a conversation Trump had after his infamous July phone call with the Ukrainian President, telling CNN that it would be regarded in a court of law as "hearsay."

"In a real court of law, we'd not be referring to something as evidence that is, 'oh, someone on my staff recalled overhearing a conversation between someone else and the President where they think they heard the President use the word 'investigations.' This is not what due process and the rule of law in our great democracy allows," Conway said Thursday during an interview with CNN's Wolf Blitzer.

She added, "We certainly shouldn't have a lower standard for the impeachment and removal of a democratically elected president."

Conway, who said she briefed the President about the hearing, told CNN that Trump reacted "pretty well" to Wednesday's public hearing because "there was nothing new."

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