The 21-year-old Spaniard has long been tipped to become an Anfield star, but has struggled for game time recently.
Upon Brendan Rodgers arrival at Anfield, the starlet was thrust into the first-team alongside Raheem Sterling, yet as the Englishman has risen to prominence, Suso has slipped off the radar.
The silky playmaker spent last season on loan at Almeria in his homeland and despite impressing, his opportunities this term have been limited to one Capital One Cup outing.
With his contract set to expire at the end of the season, a cut-price move next month is expected.
Milan have been interested in the classy passer for some time, yet their willingness to push through a swoop hinges on offloading El Shaarawy – who is being targeted by out-of-form German giants Dortmund.
Although Suso has revealed in the past that he’s content to battle for his future on Merseyside, rumours suggest that the player is desperate to get his career on track with regular first-team football.
The highly-rated ace is able to sign a pre-contract agreement with another club in January, yet a compensation payment would need to be settled with Liverpool due to his age.