William Hill has named the bishops of London and Ripon - Rt Rev Sarah Mullally and Rt Rev Dr Helen-Ann Hartley (pictured below), and the Bishop of Chelmsford, Rt Rev Stephen Cottrell - as the joint 3-1 front-runners for the soon-to-be vacant post.
Dr John Sentamu announced last year that he will retire from his post as Archbishop of York on 7th June 2020, three days before his 71st birthday- honouring the custom for a bishop to retire by their 70th birthday.
The appointments will be made by the Crown Nominations Commission (CNC).
The public won't know who the official frontrunners are until the CNC's final announcement that is due to be made by the end of this year.
The bishops of Manchester, Leeds, Ely, Gloucester and Derby have also been named as favourites by the bookmaker.
The CNC will meet privately in autumn to draw up a shortlist from names put forward by nomination commission members who include a dean, two priests and three lay people.
After interviews and a vote by secret ballot, the CNC must choose a preferred choice and an alternative by a two-thirds majority.
The names will then be sent to the prime minister who passes this on to the Queen.
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