Former Barnsley boss Danny Wilson has distanced himself with the vacant post at Oakwell.
The 8/13 favourite for the job has said that he hasn't had any contact from the Reds and that he is "enjoying his holidays".
Rumours in the press suggest that Wilson is interested in taking the vacant post at relegated rivals Sheffield United.
Meanwhile, Exeter City boss Paul Tisdale has emerged as second favourite for the job. He oversaw Exeter's rise from the Conference to League One, finishing 8th last season.