Drogba has rejected the Blues’ offer of a one-year extension to his current deal, with the striker holding out for a two-year contract.
The 34-year-old forward, who became the first player to score in four FA Cup finals with his strike at Wembley, has been linked with moves to China and the USA.
Lampard said: “I’m desperate for him to stay. He is a magnificent player. He’s a machine. He’s unique.
“He is not just that big man. He is such a handful. He scores goals that matter and that’s priceless.
“There is no-one like Didier as a player, not with the kind of bulldozer thing he has got and with his sublime touch and finish.
“Everyone has to move on at some stage and you have to find a different player or a different way of playing but for what he has done at this club, he deserves everything.
“It’s been a pleasure to play with him and it would be a pleasure to carry on playing with him because he gives defenders such a hard time.
“His body is a machine, when you look at him stripped down. He’s lost no pace, he’s lost none of his finishing instinct.
“As a man, I love Didier and whatever he decides to do, whether he stays or whatever, he has been a hero for this club and will go down as a legend.”
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