The midfielder's deal expires at the end of this season.
Today, Lampard said: "We've still got ongoing conversations with him. I've got no clarity on that yet but we will continue to talk.
"He knows what I think of him as a player. He's been very, very good for me this year. I played with him, I know him very well. It's a very honest and open conversation.
"I understand that he has options and that is something that has to be taken seriously, particularly at this stage of his career."