Paul Givan has said there is a need for "real and frank conversations" about the sector and how "real integration" is achieved.
The Department of Education confirms that the majority of £6m earmarked for Irish-medium schools has been spent on other schools.
The former teacher has carried out reviews of behaviour in schools in England and critics say he has a hardline approach.
A social media ban for under-16s was announced by the UK government on Monday.
A legal challenge was mounted on behalf of pupils at Bangor Academy and Rathmore Primary School in County Down.
The department has looked at data from school admissions and surveys to assess demand for integrated schools across NI.
Lucy Crehan, who reviewed what is taught in Northern Ireland's schools, says she supports the education minister's reform agenda.
The education minister says it is important to keep a "close eye" on the new law in Australia, but his party had made "no clear policy decision".
The changes to GCSEs, AS and A-level will not be fully introduced until September 2029.
