The France international reportedly has a strained relationship with Mourinho, leading to suggestions that he is angling for a summer exit.
Pogba, who has been subbed or left out of the starting lineup in nine of the Red Devils' last 15 matches, is rumoured to be on the radar of big-spending Paris Saint-Germain.
Speaking to Canal Football Club, however, the 25-year-old insisted that there is little substance to the rumours as he is happy at Old Trafford.
"For now I'm at Manchester United, I really only think about the present," he said. "Transfers are not in my head. You know, if I listened to everyone, I would be everywhere.
"I do not have any problem with Mourinho. I do not think he has [a problem], either. He's the coach, he's going to make choices and I, as a player, I accept him. That is all."
Pogba played the full 90 minutes as United beat Tottenham Hotspur 2-1 to reach the FA Cup final on Saturday evening.