Boris Johnson is under pressure from Tory MPs to lift the 24-year-old ban on new grammar schools when he brings forward fresh schools legislation later this year.
Senior Conservative backbencher Sir Graham Brady is ready to table an amendment to the forthcoming Schools Bill when it reaches the House of Commons.
This would lift the ban on new grammar schools being created that was brought in by ex-Labour prime minister Tony Blair in 1998.
According to The Times, Mr Johnson could support the backbench campaign to lift the ban, or even table plans of his own on allowing new grammar schools.