Hughton has been out of work since being sacked by Norwich towards the end of last season.
It is also believed that Sir Alex Ferguson's former No 2 and ex-Real Madrid coach Carlos Queiroz is not interested in the position.
Former Middlesbrough boss Tony Mowbray and ex-Portsmouth and Crystal Palace manager Paul Hart have also put themselves forward.
Paul Lambert's former No 2 Ian Culverhouse is another interested coach and he has been out of the game since leaving Aston Villa last season.
Massimo Cellino has been spurned by ex-boss Simon Grayson and Oscar Garcia, who opted to take over at Watford instead, while Steve Clarke's interest has been underwhelming.