The former Chesterfield defender, who played 231 times for Spireites, is now a 5/1 shot to get the boot next following the sacking of Claudio Ranieri's on Monday.
Dyche is currently the longest serving Premier League manager and has been at the helm of Burnley since October 2012.
The Turf Moor side are currently bottom of the table with just one win all season.
