The Environment Minister admitted last week he had taken the Class A drug, a decision he “deeply regrets”.
Mr Gove said: “I have seen it close up and I have also seen it in the work that I have done as a politician.
“That is why I deeply regret the mistake that I made.”
Asked if he should have gone to prison, Mr Gove said: “I was fortunate in that I didn’t.
“But I do think it was a profound mistake and I have seen the damage drugs do.”
He was also asked about the comments by Metropolitan Police boss Cressida Dick, who claimed middle-class drug users have “blood on their hands” for funding a trade that relies on gangs.
Mr Gove insisted he had learned from his mistake.The scandal comes as the leadership candidate list faces being cut in half today unless contenders can secure extra backers.
Andrea Leadsom, Rory Stewart, Sam Gyimah, Esther McVey and Mark Harper face the chop.