In the aftermath, Lampard admitted Chelsea needed to further strengthen his squad for next season.
And asked specifically about Havertz, he added: "I wouldn't expect anything, I wouldn't expect, but it's our job to go away and see what happens, and see if we can improve.
"In a football sense I feel like I know where we can improve, so now it's time to look at that.
"I think it is a work in progress, it's not the norm for Chelsea of the last 15 years."
The manager also said: "From having a transfer ban (last summer) you feel we've missed where other clubs have spent and improved, and recruitment is a huge part of this game.
"Nights like this in a footballing sense, show me a lot, tell me a lot.
"So it's a conversation now, the season is ended, it's a very quick turnaround, so now is the time to see where we can improve, what areas we can improve on."