However, they are hoping an offer of £100 million plus add-ons would be enough to prise him from Old Trafford.
Pogba's form has been mixed since he arrived at United for a then-world-record £89 million fee in 2016, but the France international has increased his value by winning the FIFA World Cup.
With the Red Devils struggling to convince under manager Jose Mourinho, Bleacher Report's Rob Blanchette can see why the midfielder might want to move clubs:
Rob Blanchette @_Rob_B
If I was Pogba, Id think a move to Barcelona was appealing. They play better football than #MUFC. Theyre winning and we’re not. Barca is a beautiful city to live in. And he thinks, as do we, the tactics under Mourinho are dire. It’s a professional decision for him, not emotional.
While Barca may not be the force they once were, they have won three of the past four La Liga titles, and they are much more likely than United to be contesting at the business end of the UEFA Champions League.
However, some have doubts as to whether Pogba would be a natural fit at the Camp Nou.
Sky Sports pundit Jamie Carragher is among them, saying: "I can't think of a more ill-fitting player for Barcelona. Barcelona are all about discipline, staying in position, playing for the team. That is totally against everything Pogba plays for. Pogba plays for himself, does his own thing."
Grup 14's Rafael Hernandez agrees with the former Liverpool defender:
What's more, Barca cannot afford to splash out on such an expensive player if he is not going to perform at a high level consistently.
However, the 25-year-old makes incisive contributions when he's able to flash of his talent, as evidenced by his tally of four goals and two assists in seven matches this season.