Update from Tony Stewart
Mr Stewart believes that headhunting a new boss could work well for the club and has now dismissed other candidates in favour of focussing on these two options.
Speaking to the Advertiser, Mr Stewart said: "We've tracked two people down who are in jobs.
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Hide Ad"We've asked both clubs for permission to speak with them and I've heard back from one already.
"We take a view that if we headhunt a manager, we at Rotherham can give them extra value."
If the club are granted permission to speak to both bosses, Mr Stewart expects the Millers' new manager to be announced by the middle of next week.
He said: "I'm 75 per cent sure that if we get permission to speak with the managers then we will have it wrapped up by Tuesday or Wednesday."
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Hide AdWhen asked if the club had dismissed other options, Mr Stewart confirmed that they were only focussing on the two managers they had requested to speak to.
Coventry City manager Tony Mowbray and Hibernian boss Alan Stubbs remain the bookies' favourites for the jobs.