Jose Mourinho is the unanimous favourite to take over as England boss after Steve McClaren's men were dumped out of Euro 2008.
Needing just a point to reach next summer's finals, England lost 3-2 at home to Croatia and Hills are now no longer betting on McClaren staying in his job.
"We went 13/8 for him to be gone within twenty four hours at half-time of the game (when England trailed 2-0) but now we believe he has no chance whatsoever of staying in his job so are not prepared to give money away by betting on him to go," said Hill's spokesman Graham Sharpe.
Coral did offer odds for those who think McClaren's exit was a formality but their 1/40 suggests his tenure is hanging by a thread.
McClaren won't throw the towel in himself though and said after the game: "I'm not stepping down. Ultimately I take responsibility and I accept that. It was my job to get us qualified and I failed to do that.
"I don't want to discuss my future at the present moment. I am trying to get over that result."
All the bookies appear to be in agreement that Mourinho is the man the FA will turn to next in a bid to revive England's fortunes.
Hills made him their 5/1 favourite when the final whistle went, while Paddy Power chalked up 4/1.
Coral and Sky Bet favour the ex-Chelsea boss even more and quote 3/1.
Martin O'Neill is second favourite in most books while Phil Scolari and Guus Hidding are also prominent.
Of the English-born candidates, Hills make Stuart Pearce 10/1 and Alan Shearer 12s. Sam Allardyce is 16s with Paddy Power.
On Betfair, England were trading at 1.64 to beat Croatia at kick-off and had earlier been backed at 1.01 (1/100) to qualify.
Their qualification odds drifted to 3.5 (5/2) when Croatia swept into an early 2-0 lead and Russia went in front against Andorra but were back down to 1.1 (1/10) when Peter Crouch volleyed England level at 2-2.
Betfair reported that Â£15m was wagered on the match odds market.
England's failure to qualify will have a big impact on turnover and Coral's David Stevens reflected: "England's absence at next summer's tournament is bad news all round, and certainly we would expect betting interest to be hit hard."
Hmmm... Cmon Jose