"The gamble suggests that at the very least Eddie Jones is on a shortlist and an announcement could be imminent," said William Hill spokesman Rupert Adams.
Ian Ritchie, the Rugby Football Union (RFU) chief executive, said last week that England would seek to replace Stuart Lancaster with "proven international experience" and Jones is one of the few elite coaches in world rugby who comfortably fits the bill.
He led Japan to their best-ever World Cup showing in England, where they managed three victories, including a 34-32 win over South Africa. He also coached the Wallabies to the World Cup final in 2003 and was an assistant to Jake White when the Springboks won the 2007 tournament.
Jones, who recently took charge of South African Super Rugby side the Stormers, ruled himself out of the England job last week when he arrived in Cape Town.
South African White was the early favourite for a job that media reports claim carries an annual salary of 500,000 pounds ($758,700).
Lancaster left the role "by mutual consent" last week, despite having four years left on his contract, following England's pool-stage exit from the World Cup.
William Hill Final Odds Next England Coach: 11-10 Eddie Jones, 11-4 Jake White, 8-1 Wayne Smith, 10-1 Nick Mallett, 10-1 Rob Baxter, 12-1 Conor O’Shea, 12-1 Dave Rennie, 12-1 Jim Mallinder, 12-1 Michael Cheika, 12-1 Mike Ford, 14-1 Robbie Deans.
(Editing by John O'Brien)
