But the La Liga side have insisted they are yet to receive any offers for Griezman, who has become one of Europe’s hottest properties following a stellar season in Spain.
According to The Daily Star the French youngster is a £25 million target for Premier League trio Arsenal, Liverpool and Manchester United.
The 32-year-old netted 20 times for the Spanish side last season as he helped Sociedad earn a place in next season’s Europa League.
And although they’re resigned to losing the French international, they have revealed that any deal will have to be done after the World Cup, having received no bids up to now.
But the Premier League trio face a fight from Ligue One big spenders Paris Saint Germain, who are also reportedly interested in obtaining his signature.