An agent is circulating Liverpool striker Divock Origi's name around Europe this summer.
Liverpool are keen to keep Origi in their books and want to reward him with a new contract.
But Estadio Deportivo says Origi could be on his way out of the club before he can sign a pre-contract agreement with another club in January.
With just 12 months remaining on his deal, the striker is approaching the time when he will be free to speak to European clubs about a potential move and Betis are keen on targeting Origi.
The report also states that recently departed Betis chief Lorenzo Serra Ferrer was sent details about a potential transfer by a 'trusted intermediary' who is touting Origi around Europe.
The Belgium international, however, has spoken of attempting to dethrone Manchester City next season in the Premier League.
"It's a big goal of ours. We certainly want to make steps there and we have the experience of this year," Origi said.
"It would be nice to win the Premier League but I think for now we just have to enjoy, internalise what we did and reset goals for the new season."