Matic worked with Mourinho at Chelsea, before reuniting with him at Old Trafford.
While the Serbia midfielder has a great deal of respect for the Portuguese, he says it can be difficult to live up to Mourinho’s expectations.
“Mourinho is a brand, and the best coach I’ve ever worked with,” he said to Serbian magazine, Elevate.
“Sometimes it isn’t easy to work with him, because he always demands more. Even when you play the best match in your career, he considers that you can play better in the next match.
“I cooperated excellently with him at Chelsea, and the fact that Mourinho is the coach at Manchester was the decisive factor in choosing my new environment.
“Privately he’s completely different from the way he is perceived by the general public. This is a man who possesses all human virtues.
“He’s not at all cold or conceited, as he is presented in the media.”