Arne Slot is enduring a difficult defence of last season’s Premier League title, with the Reds’ latest defeat to Bournemouth marking their seventh loss of the campaign.
Internally, the club’s plan has been to give Slot time to turn the season around, providing him with the backing and space to implement changes.
There is a belief he earned that opportunity, having guided Liverpool to the league title at the first attempt last season.
They aim to stick by that stance, but doubts have started to grow over the team’s direction, with a series of timid, slow and predictable performances failing to produce consistent positive results.
Speculation surrounding Slot’s future has intensified since Alonso’s departure from Real Madrid, and it is understood Liverpool are taking initial steps to gauge the feasibility of a potential appointment.
The club are said to be seeking a renewed sense of identity - something former player Alonso could help deliver if called upon, it is believed.
Any move is being touted for next season, but Flashscore's sources say there are "genuine" inroads being made.
There are also early, unconfirmed reports suggesting Liverpool could even consider bringing Steven Gerrard into the coaching setup should a managerial change occur - though that remains speculative at this stage.
