America owner Randy Lerner makes Bradley an obvious choice for the punters, and the coach made his mark in South Africa by winning England's qualifying group before seeing his team go out to Ghana.
But there are some heavyweight candidates on the list, and Bradley dropped back in the betting as the odds shortened on former Charlton and West Ham boss Alan Curbishley.
Slaven Bilic, Sven Goran Eriksson along with his old England sidekick Steve McLaren, now coaching Wolfsburg in Germany are all in the frame.
Jurgen Klinsmann is being mentioned, along with sacked West Ham boss Gianfranco Zola.
Interestingly, two unsettled Championship managers are reportedly in with a shout – Nottingham Forest's Billy Davies and Dave Jones of Cardiff City, both of whom guided their clubs to the play-offs last season.