"I ask about his family, his wife, his kids - I know how important these things are to him - integration, house and everything is fine and everybody is happy," Mourinho said before Fridays Premier League visit of Southampton.
"He has a very high motivation, so I see him here, no doubts, for the next two years."
Mourinho will be able to call upon the services of the world's most expensive football at Old Trafford on Friday as Paul Pogba returns from suspension.
Eric Bailly has also impressed in his early days at Old Trafford, and Mourinho is pleased with the way he is dealing with the pressure.
"Bailly is a young boy playing in a completely different competition with a different club, but despite all the pressure and expectation that comes with playing for United, he plays against Leicester at Wembley and is comfortable, leading and communicative."