Arsenal have already spoken to the France star's dad Christian to pave the way for a switch that will make Gourcuff the Gunners' record signing.
An Arsenal source said: "While every effort is being made to keep Cesc at the club the boss is working towards an alternative.
"He believes Gourcuff's finesse and grace will fit perfectly to Arsenal's way of playing and will make it an almost seamless transition if Cesc does go."
Wenger is desperate to keep Fabregas after the skipper asked for a move to boyhood club Barcelona.
Arsenal slapped an £80m price tag on their prized asset but it is accepted Fabregas will eventually sign for Barca for around £45m.
Gourcuff, 23, will be France's first-choice playmaker in the World Cup but has a £21.8m get-out clause at Bordeaux.
Wenger may struggle to bring that price down as Bordeaux president Jean Louis Triaud is still fuming at Wenger for nabbing his striker Marouane Chamakh on a free.
Yet cash-strapped Bordeaux are desperate to get Gourcuff off their wage bill after failing to net a European spot following a late-season collapse in the French League.
Gourcuff earns around £80,000 a week at Bordeaux, one of the highest contracts in French football.
He joined Bordeaux in a £14m deal from AC Milan last summer after a season on loan in France.
he costs so much? is he any good?
not sure whether he is that good or not but fabragas is almost as gone.
gunner is only just trying to jacking up the price for fab.
bring back flamini to arsenal lar. flamini seem wasted at ac milan.
flamini is defensive kind of player, not kind of fab style.
i think AW can consider Joe cole, arteta, both had abandon EPL experience.
Good choice and considering he's yet another frenchman.
hope AW can have at least 50million from fab sale. use it wisely to strengthen the defence, GK, midfield.
gd
and wenger should buy Hleb back too
seem kinda Bench Player lia0
YES! Finally!!!