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
The head of the Italian Red Cross, waiting to treat rescued migrants in Italy from the latest boat disaster, tells ITV News Europe must act.
Showers continue across western Scotland throughout tomorrow but some brightness here as well.
Two people were injured in a collision involving several vehicles in central London, after their car was caught between two buses.