Lampard, 29, has one year remaining on his present deal and he and Chelsea have reportedly failed to agree an extension for more than a year.
He was linked this week with a move to Italian giants Inter Milan but Blues chairman Bruce Buck is confident the player will opt to stay in west London.
"For Frank, the season ends in about 10 days' time, I guess, after the two England friendlies," Buck told Chelsea TV.
"We will sit down with Frank and Steve Kutner, his agent.
"We're hopeful, confident, that we'll reach agreement with Frank and he'll be here for the long-term."