Chelsea remain in discussion with Hudson-Odoi about a new contract. The young winger is reportedly close to agreeing a new deal at the club, which will be worth £180,000 a week.
Lampard said: "On Callum there's not [any news on a new contract]. The clubs are talking, we want him to stay, I want him to stay, we hope Callum stays, simple as that.
"The better news is that he's working hard on his fitness and he's back out on the pitch, so for my point of view that's the really good news and of course as a club we'd like that to be long-term."