As a result, Islamic clerics will be entitled to apply for the top job when the current Archbishop of Canterbury, Justin Welby, steps down.
But the move us sure to upset many purists in the Church of England, who will see it as a "cheap publicity stunt".
Suffolk campaigner, the Rev Evan Elpuss has long argued that archbishops should really have to be members of the Church of England.
The vicar from Aldeburgh explained: "We have nothing against Islam, or Muslims in general. In fact, we are all for reaching out and working together for the common good.