A source close to the Education Secretary said: "Michael Gove thinks Theresa May is a superb Home Secretary.
"We will continue to work well with the Home Office and other government departments to combat extremism in all its forms.
Ofsted will publish their findings next week and Peter Clarke will publish his report in July."
More top news
Temperatures back to average for mid-October
Thousands are protesting in Barcelona to demand the release of two Catalan pro-independence activists jailed by Spanish authorities.
The mogul has reportedly agreed to permanently leave the company he co-founded after a flood of sex abuse complaints.