The Daily Mail says Derby will not stand in his way, provided Chelsea are respectful in their pursuit and pay £4million compensation.
Lampard will bring Chelsea academy graduate Jody Morris and former coach Chris Jones with him from Derby.
Meanwhile, Petr Cech is set to return in a technical role, though no final decision will be made until his Arsenal contract expires on June 30.
There is also a long-standing desire to bring Drogba back to the club in some capacity, while former midfielder Makelele, who quit as manager of Belgian side Eupen on Friday, has also been linked with a return.
Chelsea were set to name their new manager today after it was understood that they parted ways with current boss Maurizio Sarri.