The 34-year-old only has a year remaining on his current deal but hopes the club will come to him and secure his final years, ending speculation surrounding a move away from Stamford Bridge.
“I’m ready to sit down and talk to Chelsea whenever they want to,” Lampard told the Daily Mail.
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“I’ve had a great time playing for Chelsea and I hope I can prolong it. In an ideal world I’d finish here and keep giving what I have given over the past ten years.
“I certainly feel I’ve got more than a year left in me. I feel I’ve got a few more years in terms of top football. I’m fit enough and fresh enough.
“My legs are fine and with experience you can bring something else to the team in terms of off the pitch, helping the young players coming through.
“I’d love to do that. Chelsea will always be my club regardless of what happens now in terms of my playing days.”
Lampard, who scored in Chelsea's 3-2 loss to the MLS All-Stars early on Thursday, admitted talks had not yet begun but revealed he was content with the club's stance at present.
“There’s not a timeline for the talks,” he continued. “I’m not that pushed at the moment. It’s not the same as when you’re 25. Then they come to you or you knock the door down with a couple of years to go to extend it.
“When you get into your 30s you accept it’s not that way any more. And it’s not a problem.”
Lampard was a key figure in Chelsea's remarkable run to Champions League glory and looked set to feature heavily for Roy Hodgson's England in Poland and Ukraine until injury ruled him out of Euro 2012.
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“It was a huge disappointment at the time,” he added. “I was devastated, having come off the back of our huge Champions League win.
“I was bouncing when I joined up with the squad and really looking forward to the Euros and playing a part, whatever that was going to be.
“I got injured on the second day but looking back now it means I’ve had a good old rest which is something I don’t normally get. But personally it was frustrating watching the tournament and frustrating seeing us get knocked out.
“If I don’t play for England any more it’s either because they don’t want me and they don’t pick me or the fact that I can’t give what I want to give in an England shirt.
“And I don’t feel that yet. The minute I do then I’ll go. There’s no ego of trying to hang around for caps. I’ve got 90 so 100 is there.
“But I’m very proud of what I’ve done with England. I’ve played 90 games and if I didn’t play another one I’d still be very proud.”