Here’s who Sky Bet have as the current favourites for the job...
9. Tony Pulis
Odds: 9/1. the Welshman is looking for a new club after leaving Middlesbrough in May, and his odds have shortened since the start of the week. Photo: Michael Steele
10. Chris Hughton
Odds: 7/1. Released by Brighton at the end of last season, he's was one of the fans' initial favourites to take the reins at Hillsborough, and his odds are coming back down. Photo: Catherine Ivill
11. Gary Rowett
Odds: 6/1. The 45-year-old was sacked by Stoke City last January, after 29 matches in charge. Photo: Nathan Stirk
12. Lee Bullen
Odds: 9/2. He's been in charge of the Owls' recent friendly matches, and has a strong shot of getting the job. Photo: Pete Norton