Should Griezmann arrive, Dembele would likely plummet down the Barcelona pecking order.
And Don Balon say they are open to letting him go if they receive an offer of £105m.
It is said they believe Liverpool may part with Mohamed Salah.
The Egypt international is on Real Madrid’s radar having struck 43 times across all competitions so far.
And Barcelona reportedly think that, if Salah goes, Liverpool will have the money to lure Dembele away.
However, Barca chief Josep Maria Bartomeu has done his best to dampen talk of a stunning summer transfer.
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Liverpool news: Jurgen Klopp is eyeing Barcelona star Ousmane Dembele
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“Dembele leaving? It’s not on the table," he told radio station RAC1.
"We’re coming to the end of the season and after that, there will be meetings.
“He’s an investment for the future.
"He’s very young and we expect a lot from him.
"When a player comes to Barca, it’s because Valverde wants them."