The silky midfielder joined the club from Sevilla in the summer of 2013 after impressing during a loan stint with Barcelona’s B team.
However, the now 23-year-old failed to make an impact in his debut season before being shifted out to Malaga on loan for 2014/15.
Another season-long spell in La Liga with Deportivo La Coruna last term, however, provided a platform for the attacking midfielder to shine, and he notched an impressive six goals, as well as seven assists, at the Riazor.
This form prompted talk of Jurgen Klopp being willing to give him a chance on Merseyside, but reports claim that Liverpool are now keen to offload the elegant midfielder, with interest from Spain serious.
The Reds are confident of bringing in a £7m fee for Alberto, whom they signed for £6.8m.
Sevilla are thought tot be the front-runners as they plot for a season in the Champions League.
Martin Sktrel has officially left Liverpool for £5.5m, while Jordon Ibe is on the verge of a £15m switch to Bournemouth, meaning that, with Alberto sold for the mooted fee, they will have recouped almost all of the £30m+ sum paid for Sadio Mane, while slicing their wage bill.