The LaLiga outfit, a club that Pep Guardiola’s brother also has a stake in, were recently relegated into Spain’s second tier with Eusebio Sacristan’s future now in doubt.
And according to Spanish publication Sport, Bielsa is at the top of Girona’s wishlist – should the 63-year-old leave Elland Road – although any deal would have its complications.
The Yorkshire side looked on course for automatic promotion at the turn of the year, which would have ended a 15-year exodus from the Premier League.
However, it proved to be a difficult second half of the season as the Whites lost momentum in the promotion race, eventually losing in the play-off semi-finals to Derby.
And that has thrown Bielsa’s future at Leeds in doubt, with the club’s owner Andrea Radrizzani telling talkSPORT on Thursday that ‘the next few days will be decisive’ if the popular boss is to stay.
He said: “I can say we have a chance to keep him. We’ll see.
“The next few days will be decisive and we will make an announcement. We’ll see in the next few days.”
Bielsa, whose exciting brand of football has reinvigorated the club, would have automatically triggered a clause in his contract to remain at Leeds had they been promoted.