The 30-year-old is in the final 12 months of his current Stamford Bridge deal and has been discussing an extension for almost two years.
However, new Chelsea boss Luiz Felipe Scolari says Lampard has told him he will be staying in West London.
Lampard's agent Steve Kutner, though, admits the former West Ham United ace will only commit his future to the club once he is happy with a contract offer.
"I would just like to make the position clear," said Kutner in a statement to Sky Sports News.
"Felipe had a very amicable chat with Frank who told him he always envisaged ending his playing career at Chelsea Football Club.
"He also told him that unfortunately the terms for a new contract cannot be agreed with the board despite discussions having been ongoing for over two years.
"This, coupled with everything that happened to Frank at the end of last season, means his position remains completely unresolved."