The former Stoke City manager Gary Rowett is under consideration by Sheffield Wednesday, according to the Mirror.
The current Barnsley boss Daniel Stendel and the respective ex-Birmingham City, Sunderland and Wednesday men, Garry Monk, Chris Coleman and Gary Megson, are also listed as possibilities.
Sheffield Wednesday are searching for Steve Bruce’s successor after the 58-year-old quit to join Newcastle United.
But the former Brighton and Hove Albion manager Chris Hughton, the preferred choice of many Owls fans, has already ruled himself out of contention, according to the Mirror..
Rowett, who enjoyed semi-successful spells at Birmingham and Derby County after making his name at Burton Albion, was sacked by Stoke in January.
The pre-season promotion favourites were 14th at the time, but ended the campaign two places worse off.
Stendel led Barnsley to promotion in his first season in English football, having previously managed Hannover 96.
The popular German has implemented an attractive brand of football at Oakwell and proved shrewd in the transfer market.
But as the only named candidate currently in work, he would be the costliest option for Sheffield Wednesday.
There is also the likelihood that Barnsley would put up a strong fight to stop Stendel leaving for a local rival.
Monk initially left Birmingham with his stock still high after a difficult campaign for the club off the pitch.
But allegations about his conduct both there and at Middlesbrough, his previous employers, have since seen his character called into question.
Coleman was recently sacked by Hebei China Fortune after a brief spell, while Megson, another ex-Stoke boss, has only managed West Bromwich Albion on a caretaker basis since leaving Wednesday in February 2012.