It's understood that Barcelona and Juventus are both keen to sign the France global, who has a strained relationship with his manager. Mourinho has tried to diffuse the situation recently by saying he "couldn't be happier" with Pogba.
The 25-year-old midfielder fell out of favour last season and was linked with a move to La Liga champions Barcelona in the summer.
He will stay put until next summer at the earliest and examine his future then.
"My future is now in Manchester", Pogba told Sky Germany.
Luis Suarez thinks reported Barcelona target Paul Pogba has a desire to challenge for more titles than he does with Manchester United and insists the Frenchman would be welcome at Camp Nou. When Pogba was asked about his relation with Mourinho, he replied: "We have a coach-player relationship, it's like that".
"One thing I can assure you, I will always give 100%, no matter which coach I always give everything for United - I cannot say more".
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After United's 3-2 defeat at Brighton, Pogba admitted his attitude was not right in that game, but has reaffirmed he will always remain professional.
"Pogba's an elite player who's won everything", Suarez told RAC1, as per ESPN.
He further added, "He has a lot of quality and he's one of the references at United".
"I think he would like to be competing for more than he is at the moment. He is not a player that belongs to Barca, but quality players would always be welcome".
Last month, the midfielder hinted that at his strained relationship with Mourinho, saying that, "There are things I can not say otherwise I will get fined".