Conte had spoken about the many injuries in his squad, ahead of his side’s 3-3 Champions League draw with Roma on Wednesday.
After United’s 1-0 win at Benfica, Mourinho hit out at managers complaining about injuries.
“I never speak about injuries,” Mourinho said.
“Other managers, they cry, they cry, they cry when a player is injured.”
Told of Mourinho’s comments, Conte was irritated, telling the Portuguese tactician to stop worrying about his former club.
“I think he has to think about his own team and start looking at himself, not others,” the Italian said.
“I think that a lot of the time Mourinho has to see what happened at Chelsea.”