The pair have a rather strained relationship after clashing twice on the touchline when Chelsea welcomed the Red Devils to Stamford Bridge in the Premier League as well as the FA Cup last season.
"That can not happen again", Conte said.
However, Chelsea picked up just 11 points from their first 12 league games the following season and Mourinho departed in December, with the London club finishing in mid-table under Guus Hiddink.
"The decision to come here was to be able to play more games which is important for me and that is why I came here".
"We know it will be hard next season". Can Arsenal fans hope that Conte does do a Mourinho this season? "Two years ago Chelsea finished 10th and that can not happen again", Conte told reporters.
In his response on Sunday after United's 3-0 friendly win over Valerenga, Mourinho refrained from getting tangled in the subject directly, but directed his jibe at the Italian's elaborately restored hairline, Goal writes.
"I don't know, I could answer in many different ways", he said in his post-match press conference.
Despite struggling with balding in the past, Conte started as Chelsea managing with a flourishing head of hair after allegedly completing three rounds of hair transplant surgery.
The player recently said that there has been no contact from Chelsea and even Inter coach Luciano Spalletti poured cold water over any interest from the Premier League champions last week.