When Alberto went back to Lazio in 2016, Reds chief Michael Edwards put in a clause that gives them 30% of the sell on fee.
The 27-year-old is in great form in Serie A and a summer move is possible.
He has 12 assists and four goals in 25 games.
But Italian reports are suggesting the player will be offered a mega deal by Lazio to stay put.
If he does not renew, the club want to sell him for £69 million, which would get Liverpool roughly £20 million.
But if he decides to stay at Lazio, the Reds would miss out on a significant injection of funds.
The player's agent Alvaro Torres recently spoke to Marca in Spain and said: "Last year [Alberto] was one of the best players in Serie A and this year he's the best.
"We're happy and speaking to him a lot and want to agree a [contract] renewal."
Need a VPN? Or seeking to switch? Then support Tribal Football by clicking here to sign up with our official partners NordVPN. Not only will you receive the best VPN experience, but also great discounts by signing up via Tribal Football. Thanks for your support!