The Sun quotes him as saying:
I couldn’t tell you if there will be another bid. Obviously we will take stock of it and consider what we are going to do next.
I never at any time said I knew we would get him. I just said we had made offers. They have been rejected. We will take stock from there and decide where we go from there.
With United's second offer believed to be over £30 million, it's clear to see why Moyes' confidence in landing the former Arsenal star is dwindling.
Barca, despite spending big to bring Brazilian wonderkid Neymar to the Nou Camp this summer, are in no need to sell their best players.
And with new manager Gerardo Martino now in place, there's a chance that Fabregas could play a key role next season as the Argentine attempts to reinvigorate the Catalan giants.
But should the former Everton chief give up on his No. 1 transfer target so easily? The answer, quite simply, is no.
United have been crying out for a world-class central midfielder for years, despite the longevity of Paul Scholes and versatility of Ryan Giggs.
While Michael Carrick had arguably his best campaign in a red shirt last season, Sir Alex Ferguson struggled to find someone capable of playing alongside him.
Anderson battled for form and fitness, Darren Fletcher is a long-term absentee through illness, Tom Cleverley had only just broken into the first team and Phil Jones quickly showed that he's a central defender, not a midfielder.
Fabregas would bring a swagger to Moyes' midfield with his exquisite passing range, box-to-box engine and an eye for goal.
Capable of playing deep or behind a striker, the Spaniard's versatility would be a welcome bonus in a long season, particularly with Wayne Rooney's future still very much in the air.
He's knows the Premier League extremely well and would take no time to adjust, unlike many potential signings from around Europe.
And he happens to relish playing alongside United's top dog, Robin van Persie.
So far, Moyes has shown little interest in pursuing anyone other than Fabregas, an indication of how highly he rates him and how much he wants him in his starting XI come August.
It's for this reason that the club must do everything in its power to back the new manager and give him the player he so desperately craves to begin carving his own United dynasty.
Don't be surprised if this saga continues for a while longer.