Iniesta has been embroiled in contract negotiations with Barca for a number of months now, but has been unable to agree an extension.
Rumours suggest that he has been unhappy with the offer on the table from the club where he has played his whole career, and that he has also been displeased with the rotation system at the club under new manager ‘Tata’ Martino.
Into the uncertainty has emerged United, who failed to sign a creative midfielder during the last transfer window, and got ill-fitting Marouane Fellaini instead.
The Red Devils are said to be willing to pounce if Iniesta and Barca no longer see eye to eye.
But the thought of Iniesta quitting Catalonia simply does not ring true to most observers, and the club’s sporting director Andoni Zubizarreta has told Radio Catalunya that he expects Iniesta to pen a new deal soon.
"We are close to agreeing a new contract with Iniesta," Zubi said.
"I think it could happen before Christmas."
Meanwhile, Sky Sports’ Spanish football correspondent, Guillem Balague, claims that there is very little chance Iniesta will quit Barca for United or anyone else.
"I've seen that the rumour of Andres Iniesta moving to Manchester United has attracted a lot of interest," he said, according to Sky Sports.
"But before you get all excited, I have to tell you that Iniesta is not listening to offers from anybody.
"His agents are aware of interest not only from Manchester United but from every other big club in Europe. It's logical that these kind of rumours come out when he is looking for a new contract but he has not asked for any information on anybody because his priority is to renew his contract with Barcelona.
"Even though he rejected the first offer from Barcelona both parties are saying they are very close. I just don't see Iniesta going to Manchester United or anywhere else.
"I see him renewing his contract, so does Barcelona and so do Iniesta's representatives. It's just going to be a matter of time until he signs."