Barcelona are keen to raid Atletico Madrid for star player Antoine Griezmann, but would have to balance the books.
Tuttomercatoweb report Barcelona are in contact with Liverpool over a deal for Dembele, but manager Jurgen Klopp wants a loan deal.
Selling Dembele early could get Barcelona off the hook for various bonus payments linked to appearances and trophies.
Dembele's first season with Dortmund was blighted by injury, but he managed to score four goals and provide six assists.
Signing Dembele on loan would be an incredible deal for Liverpool but Barcelona will push for a permanent deal.
While a loan would perhaps be preferable to Liverpool, the opportunity to sign Dembele may not come again and even at a high price, the Reds should strongly consider paying up for the talented France international.