Chief executive Ed Woodward has left Manchester United's tour of Australia early to carry out urgent transfer business - with Sky Sports understanding the deal involves a player arriving at Old Trafford.
United could face competition for Fabregas' signature from three Premier League rivals, with their opening bid of £25million, communicated to Barcelona on Monday, sharpening interest from Arsenal, Chelsea and Manchester City
For his part, Fabregas has repeatedly said he is happy in Catalonia, and that stance was reiterated by Barca boss Tito Vilanova on Tuesday as he said: "It's normal to receive offers for our players from other teams. We have very good players, and we have to be very happy to have Cesc with us.
"I am conscious that he has received offers for other teams, but I had a conversation with him and he let me know that we wanted to stay here, and his dream is to be successful here.
"So he is not thinking about any other club, not even for money or for minutes, even if he knows all the competition he has here with Xavi, Iniesta and also this year against Sergi and Roberto, but he told me that his dream is to be here. I'm not worried at all."
Red Devils goalkeeper David de Gea, meanwhile, would welcome Fabregas at Old Trafford
He told the Daily Mail: "He is a great player, very skilful, knows how to win things and you always want those type of players in your team."