Goals from Pedro, Gary Cahill, Eden Hazard and N'Golo Kante condemned Mourinho to an embarrassing defeat in his first return to Stamford Bridge as United boss.
And Mourinho hit out at Conte for the way he whipped up the home crowd as the game came to an end.
GETTY
Jose Mourinho and Antonio Conte exchanged words at Stamford Bridge
"Don't do that [celebrate] at 4-0," Mourinho reportedly told the Chelsea boss.
"1-0 okay, but 4-0 is humiliating.
When asked what he had said to Conte when they embraced at full-time, Mourinho refused to elaborate.
"I was listening to the support of Manchester United, always supporting their team and I was asking my team to do a clap for my players," the Italian boss said.
"All the players deserves this clap."
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Manchester United star Eric Bailly was spotted limping heavily on his way out of Stamford Bridge.
Bailly came off in the second half of United's heavy defeat after a tangle with Blues winger Hazard.