The Blues boss claims that his relationship with the Frenchman has improved during his time away from England and says that he has a lot of respect for the Arsenal manager
The two have clashed in the past, particularly during the Portuguese's first spell at Stamford Bridge, when he famously called the Gunners coach a "voyeur".
However, Mourinho insists that he now gets on well with the Frenchman and that their relationship has progressed during his time away from the England.
"He's a nice guy," he told reporters. "I had a chance to meet him much, much better when I left England and I started meeting him in UEFA [coaching meetings], at the Euros, the World Cup.
"I think I met him a few times, we had dinner and so on. When you are not in the same league and when you are not playing against each other, it is easier to get to know people, it is easier to go deeper. It is easy to speak about football. He's a very nice guy.
"I respect him a lot and I will show it always," Mourinho added of his intent to be less antagonistic this season. "In football, things like this happen. Sometimes, even if you are friends and respect each other, sometimes you say something the other doesn't like and you react but, at the end of the day, I respect him a lot and I have the feeling that he is the same in relation to me.
"I wouldn't bet for one single problem between us."