Chelsea chief executive Peter Kenyon expects Frank Lampard to honour the remainder of his contract if they cannot persuade him to sign a new deal.
Kenyon also confirmed that Inter Milan's only bid so far, of £7.95 million, will be rejected by the club.
Reports have claimed Lampard is unhappy that his situation remains unresolved but Kenyon is adamant that their offer remains on the table.
"The situation is ongoing," said Kenyon. "We have always maintained that we want Frank to stay and an offer was made to that effect.
"That offer is still on the table. Frank is under contract and he still has one year to run on that.
"We'd like to hope we can reach an agreement but if we can't we have always worked on the basis that Frank sees out the terms of his contract.
"Chelsea has made its position very clear to Internazionale and they have come back now with a financial offer. That will be rejected.
"Contrary to what you may have read it is totally untrue that (manager Luiz) Felipe (Scolari) was pushing the club or putting pressure on us to change the offer to Frank.
"At no stage was he ever in conflict with the club's position or asked the board or the owner to change the offer."