Speculation about the next actor to portray James Bond has prompted bookmakers to establish Turner as the leading contender, with Scotland’s Jack Lowden positioned second.
The casting process is reportedly nearing completion, and several actors are understood to have reached the final round of auditions.
Turner, who is married to pop star Dua Lipa, is available at odds of 4/7, while Lowden follows at 5/2.
The Crown actor Josh O’Connor trails the leading contenders at 9/1.
Turner has attracted 67 per cent of bets placed on the role, compared with 33 per cent for Lowden, making him the market leader.
Former Bond actor Pierce Brosnan has backed Turner, having previously worked alongside him in the 2017 film The Only Living Boy in New York.
The race also includes Oxfordshire actor Jonathan Bailey, known for appearing in Wicked and Bridgerton.
Other names linked with the role are Robert Pattinson, James Norton, Aaron Taylor-Johnson, Theo James, Richard Madden, Tom Holland and Taron Egerton.
Idris Elba and Henry Cavill have additionally been linked with the shortlist.
Cavill previously auditioned opposite Daniel Craig for Casino Royale in 2006, when he was 22, but was considered too young for the part.