Mourinho was speaking in defence of star man Harry Kane, after he controversially won a penalty against Brighton during the 2-1 victory last weekend.
But Chelsea manager Lampard, who has already locked horns with his former Portuguese coach during an EFL Cup tie in September, defended his players and insisted the criticism "did not affect him".
Lampard was responding after Mourinho's comments of: "Kane? I think you are confused.
"There have been no incidents of diving at Chelsea this season that I've seen.
"But I wasn't surprised by it, no. I think it's very normal that managers in and around the clubs challenging sometimes mention others with those statements. It didn't affect me.
"I'm not going to tell Jose or any other manager how to do a press conference.
"I think we all know when we watch these penalty decisions, we know what ones are penalties, what ones are dives, ones that are cleverly bought. I don't want to dwell on it."