The Spain midfield star has told friends he wants to stay and fight for his place at Barcelona.
Manchester United have had two offers rejected and are mulling over making a club-record £35million bid.
Fabregas 26 remains top of Moyes’ summer hitlist but a Barca insider confirmed last night: “Cesc is very flattered by United’s interest and recognises what a great opportunity they offer.
“But it’s only two years since he left Arsenal and he doesn’t want to turn his back on Barcelona so soon.
“It has been a battle trying to dislodge Xavi and Iniesta or slot in successfully beside them but he has had his fair share of games and wants even more.”