Derby manager Gary Rowett, Sky Bet's 1/8 favourite, has asked for permission to talk to Stoke about their vacant manager's position.
The Potters were relegated from the Premier League this season and will play alongside Derby in the Championship next term.
Paul Lambert left the bet365 Stadium last week, while Rowett has been in charge of the Rams since March 2017.
Derby said in a statement on their website: "Derby County Football Club can confirm that Gary Rowett has asked for permission to speak with Stoke City regarding the vacant manager's position at the bet365 Stadium.
"The club is now in discussion with Stoke regarding the matter and will update our supporters in due course."
Rowett, a former Derby player, has managed Burton and Birmingham previously.
Stoke are 3/1 with the sponsors to be promoted from the Sky Bet Championship next season, Derby are 11/2.
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