The Rams have gone seven games without a win, and have seen their hopes of automatic promotion fly out of the window after a terrible run of form at just the wrong time.
In fact, Derby are now clinging on to a play-off place, fending off intense competition from Ipswich Town and Wolverhampton Wanderers right now.
That has brought manager Steve McClaren's position into jeopardy, with the Daily Mail reporting that the ex-England boss is likely to leave the iPro Stadium at the end of the season in order to become the new Newcastle United manager.
Such a situation would leave Derby looking for a new manager, but the Daily Mail believe the Rams have already identified their top target.
If Burnley do get relegated, then Derby will look to tempt former Nottingham Forest youngster Dyche into a move to the club, offering a bigger budget and bigger fanbase in a bid to attract him.
It would be an ambitious move considering how highly-rated Dyche is, but Derby will need to make a big appointment if McClaren does leave - and 43-year-old Dyche fits the bill.