Last timeMr Gove, 51, travelled to the USA was in January of 2017 to interview Donald Trump before his inauguration.
And Foreign Minister Jeremy Hunt, 52, said he might have drunk a milkshake that was laced with drugs when he was younger.
The former Work and Pensions Secretary has become the latest Tory leadership candidate to admit to having taken drugs, after Rory Stewart apologised for previously taking opium and Michael Gove saying he "deeply regrets" taking cocaine more than two decades ago.
The environment secretary said he believed the "mistake" should not be held against him in his bid to become prime minister.
Gove, formerly a journalist, admitted to drug use at social functions during his 20s.
The battle is expected to conclude by the end of next month, with former foreign secretary Boris Johnson the bookmakers' favorite to emerge victorious.
But BBC presenter Andrew Marr shamed the Tory leadership nominee over the lack of consequences to his action as he pointed out members of the public who had used the Class A drug would face prison if found out.
Another hopeful is worldwide development secretary Rory Stewart, who once hiked across Iran, Afghanistan, Pakistan, India and Nepal.
He added: "I think it is the case that, if I were to be elected prime minister of this country, then of course it would be the case that I would be able to go to the U.S. and I think it's foolish to suggest otherwise".
"There was a period before university when I had quite a few (cannabis joints)", he said.
"Look, I had a fantastic time when I was young, I lived life to the full".
Favourite to succeed Theresa May Boris Johnson admitted to GQ magazine that he tried cocaine and cannabis as a teenager, and later claimed on panel show Have I Got News For You that he sneezed when he took it.
"The question now is that people should look at my record as a politician and ask themselves 'is this person we see ready to lead now?'", he said. One of the things that I would absolutely say is it is a mistake which I profoundly regret.
Leadership nominations will close at 17:00 BST on Monday, the party has said.
Raab, who had already admitted taking cannabis as a student, said: "At university, I tried cannabis, not very often as I was into sport".
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