The 22-year-old arrived on Merseyside in the summer of 2013, after being signed from Sevilla for a fee of £6.8 million, but was restricted to a bit-part role throughout his first year.
Making only two starts and 12 appearances in all competitions in total, ex-Barcelona B forward Alberto was loaned out to Malaga but quickly became a regular fixture on the bench, making just 15 league appearances.
With Alberto still not in Brendan Rodgers' first-team plans at Liverpool, Deportivo, looking to build upon their slim last-day survival, are keen on completing a loan deal to secure the Spanish under-21 international's services.
Despite being believed to face competition for the youngster from another La Liga club, a deal is expected to be confirmed in the next few days, which will likely signal the end of his Anfield stay.
Reds' proactive start to the summer window
Liverpool have had a busy start to the window so far, bringing in six new players as Rodgers looks to prove he is still the man for the job.
Adam Bogdan, Joe Gomez and Nathaniel Clyne have all been officially announced as Liverpool players, with James Milner, Danny Ings and Roberto Firmino only awaiting their medicals and official confirmation.
Liverpool have also been quick to add to their youth ranks, bringing in 16-year-old Bobby Adekanye from Barcelona - while American teenager Brooks Lennon has also signed up with the club's Academy.
Internacional's Allan Rodrigues de Souza, 18, is the latest to be linked, with Liverpool's scouts supposedly interested in securing a £500,000 deal with the Brazilian club after he impressed during a tournament in the Far East.
There could yet be more outgoings, too. Out-of-favour Mario Balotelli continues to be linked with moves away, with fellow Premier League sides Stoke City and Newcastle United the latest to be linked with the Italian, though there is little chance that the £16 million striker will actually leave.
Another recently-announced departure is Sebastian Coates, who has moved permanently to Sunderland in a £4 million deal - whilst right-back Javier Manquillo could soon be set to follow, with the Reds reportedly considering cutting short the Atletico Madrid man's two-year loan deal.