Despite barely being linked with the 26-year-old all summer until now, the Baggies find themselves at prices of as low as 2/1 to sign the R's man. Everton are second favourites but are considerably further behind at 7/2.
All the usual suspects, meanwhile, including the likes of Tottenham Hotspur, West Ham United and Aston Villa are all way back.
The landscape of the Austin market has completely changed, with Newcastle United now as high as 14/1. That's despite recent reports suggesting the Magpies could well move for the QPR man if his price was lowered, according to the Chronicle.
Another report in the Daily Mail recently also spoke of Newcastle interest in the 26-year-old - but with Crystal Palace preparing to re-enter the race and provide staunch competition.
Now, however, it's Crystal Palace's odds that have significantly shortened, with Newcastle drifting.
It's completely new territory as far as the favourites are concerned, though, with West Brom leading the way by some distance - and rather suddenly - and Everton second in the running. Austin is 9/1 to stay at QPR, meanwhile.