It's going to be a tough gig whoever takes over. Stoke currently sit 18th in the league, just behind Southampton on goal difference and were unceremoniously knocked out of the FA Cup by League two side, Coventry FC over the weekend.
The Potter's poor form and humiliating FA Cup exit led to Mark Hughes being sacked after four and a half years in the job.
The best odds you can find at the moment for Bilic to become Stoke manager is 8/11 with Betway.
Next favourite is current Derby County manager, Gary Rowett. You can find the best odds for Rowett with Skybet, Betfred and 888Sport at 6/1.
Martin O'Neill can also be found at 6/1; he is currently Republic of Ireland manager.
Bilic still remains favourite despite The Sun's reports that he is enjoying his down-time since being sacked by West Ham in the Autumn and is instead considering the Australian national coach's job.
It has been rumoured that Gary Rowett, who is currently in negotiations over a new contract with Derby, is using Stoke's interest as leverage for a better deal. He currently has 18 months left on his contract with Derby.
Martin O' Neill has yet to sign a new contract with the Republic of Ireland and would likely be interested in a return to top-flight club management.