Chelsea would have to pay Derby around £4m in compensation if they appoint club legend Frank Lampard as their new manager.
With current boss Maurizio Sarri set to be confirmed as Max Allegri's replacement at Juventus, Lampard is the overwhelming favourite to take over.
However, BBC Sport understands Chelsea are yet to make contact with the Rams.
Lampard won 11 major honours in his 13 years as a player at Stamford Bridge.
A deal between the Blues and Serie A champions Juventus was agreed in principle on Thursday, with the Italian club expected to have to pay in excess of £5million in compensation to secure Sarri.
The Italian, who has spent just one season at Stamford Bridge after arriving from Napoli in July 2018, won his first trophy as manager when he guided Chelsea to Europa League victory over Arsenal last month.
Derby have a good relationship with Chelsea, who loaned them Mason Mount and Fikayo Tomori last season, and anticipate if negotiations do take place, they will be done so in a relaxed atmosphere.
However, as with all their coaching staff, there is a compensation clause built into Lampard's contract, which has two years to run.
Lampard's Chelsea credentials
Lampard, 40, is fourth on Chelsea's all-time appearance chart with 648.
He won three Premier League titles and the Champions League and is Chelsea's all-time record goalscorer with 211.
Lampard has spoken previously about his desire to manage Chelsea.
However, there are senior figures at both Stamford Bridge and Pride Park who wonder if now is the right time, given Lampard has only one year of management experience, during which time he was beaten in the Championship play-off final by Aston Villa.
Also if he does go to Chelsea, he would be taking on a squad that has just lost its best player in Eden Hazard , and, unless the situation changes, will not be able to sign players for another 12 months.
Derby's players are due to return for pre-season training on 1 July, although it is expected Lampard's position will have been clarified by then.