After United's 1-0 win over Benfica, Mourinho claimed that some managers "cry and cry" about injuries, comments which appear to have been aimed at Conte after a number of injuries at Stamford Bridge.
However, Conte has attempted to play down Mourinho's suggestions, hinting that he thought that Mourinho had become obsessed with his former club after two successful spells in West London.
The 48-year-old told reporters: "If he is speaking about me, I think he has to think about his team and start looking at himself, not others.
"I think that a lot of time Mourinho has to see what happened at Chelsea. A lot of time, also last season. He needs to think about his team."
Chelsea play host to Manchester United in the Premier League on November 5.