The two managers have had heated exchanges during both meetings between the two clubs so far this season.
Mourinho took issue with Conte's behaviour during the closing stages of Chelsea's 4-0 win over the Red Devils in October, while the Italian was angered by Man United's physical treatment of Eden Hazard during their FA Cup quarter-final clash last month.
Conte, however, insists that he has no issues with the Portuguese coach and does not enjoy confrontation, telling Sky Sports News: "I have zero problem. It's a sporting competition between me and him.
"There is a game of football and I want to win with my team, he wants to win with his team. It's normal to be in conflict during the game but only a sporting conflict.
"It's very simple, the conflict is the game. It's not a friendly game, both teams want the three points and for this reason you fight to win.
"Do I like the conflict? No, I don't like it. I prefer to concentrate on my team. But sometimes it's normal for me and the other coach to have this situation. But do I like it? No."
Chelsea currently top the Premier League table, while Man United sit fifth in the standings.