"With pre-season fast approaching for both clubs it is hoped this will allow Chelsea to swiftly conclude their discussions," Derby said in their official statement. "The club will make no further comment until it is appropriate to do so."
Lampard has been tipped to follow Maurizio Sarri in the manager's position at Chelsea, with the Italian having left the London club to join Juventus in mid-June.
Liam Twomey of ESPN FC doesn't think it will take long for Chelsea and Lampard to agree terms:
Derby only appointed Lampard as their head coach a year ago. In his debut season, the former Chelsea stalwart steered the team to the Championship playoff final but missed out on promotion to the Premier League after suffering a 2-1 loss to Aston Villa.
Lampard hinted he was likely to stay at Derby after the loss:
Daniel Storey @danielstorey85
Frank Lampard, May 27, on the subject of Chelsea job: "I have a two-year contract here. I have loved working here and I want to continue that and I want to continue working and progressing with the club." In hindsight, an odd statement given that everyone knew he wanted it.
The year in the second tier is the 41-year-old's only managerial experience. Even so, Chelsea blogger Russell Saunders is happy to see the Blues legend make his return to Stamford Bridge:
Lampard is rated as one of the best players to ever turn out for Chelsea and is the club's all-time top goalscorer. During his time with the Blues, he won the Premier League on three occasions, the FA Cup four times and a Champions League title.
While Lampard will no doubt receive the backing of the supporters should the move be finalised, he's not walking into a straightforward job at Chelsea.
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Even so, the chance to manage Chelsea, who have secured Champions League football for next season too, is an opportunity that's surely too good for Lampard to turn down.