After United's 1-0 win at Benfica, Mourinho hit out at managers moaning about injuries.
"I never speak about injuries," he said. "Other managers, they cry, they cry, they cry when a player is injured."
Told of Mourinho's comments, Conte was unimpressed, 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."
When asked what he meant by that, the Chelsea boss doubled down, saying: "A lot of the time, also last season."
N'Golo Kante, Danny Drinkwater and Victor Moses are sidelined for Chelsea, while David Luiz (calf) and Tiemoue Bakayoko (groin) picked up injuries against Roma.