Lampard hopes Cole sticks with Chelsea
Chairman Bruce Buck moved to allay fears over Cole's future on Sunday by claiming the club were determined to keep the midfielder at Stamford Bridge.
And now Lampard has called on the club to hand Cole a new contract sooner rather than later.
"Joe's a fantastic player and I really hope we keep him, and I think that goes for everyone at the club," said Lampard.
"I don't know Joe's personal position with the club but I'm sure that the club want to keep him and the players want him to stay."