Mourinho had earlier said that he had never been, and will never be, suspended for match-fixing, in a snide reference to Conte.
While the FA has the power and authority to contact both Mourinho and Conte to seek an explanation for their recent verbal hostilities through the media, there is a hope within the organisation that the two men will bring an end to the public disharmony in the coming days and weeks. I consider him a little man, a man with a very low profile. But I know him very well in the past. In the past he was a little man in many circumstances, he is a little man in the present and for sure he will be a little man in the future.
The animosity has stepped up to another level over the past week, however, with Conte suggesting Mourinho was suffering from "demenzia senile" in the wake of claims by the United manager that he does not "behave like a clown" on the touchline - a barb perceived to be aimed at Conte. Mourinho famously wore a t-shirt to show his support for the ousted Foxes manager after he had led the club to a heroic Premier League title victory in 2015-16.
Conte is in his second season as Chelsea head coach, like Mourinho is at United.
Antonio Conte blasts 'senile' Jose Mourinho
The new year has seen a fiery escalation of the duo's heated rivalry; which could well spill over when Man United visit Stamford Bridge next month. You know him very well.
"Do I have the look of a person with regret?"
Asked if the League Managers' Association (LMA) should now step in to try to fix the damage between Conte and Mourinho, the Chelsea boss said: "I think it's not important, the association, you understand".
Later speaking to BBC Radio 5Live, Conte added: "When is the game against United?"
Should Chelsea beat Arsenal in the two-legged semi-final, their scheduled February 25 Premier League clash at Old Trafford will have to be moved as the Carabao Cup final at Wembley takes place on that date.More news: Performance Dip on Old Windows Versions Due Meltdown & Spectre Fixes