Negotiations between the two teams, according to This Is Anfield, have persisted since the Reds’ opening bid of £37 million was turned down earlier this week.
While they are still hesitant to pay Saints’ goal price of £50 million, there remains hope that a deal may be struck.
Personal terms have previously been agreed upon with the player’s camp, thus the only thing standing in the way of a deal is the payment of a fee.
Liverpool is moving quickly to accomplish that goal as they try to turn away interest from teams like Chelsea and Arsenal.
Additionally, they are out of time.
On Thursday, Jurgen Klopp and his team will depart for Singapore to resume their preseason training.
Prior to returning to England for their final summer friendly against Darmstadt, they will play Leicester City (this Sunday) and Bayern Munich (next Wednesday) while they are in Asia.
Lavia, who joined Southampton after a £14 million transfer from Manchester City last summer, was the club’s star performer in his first season despite still being a young player.
He played in the base of the midfield in 29 Premier League games and prospered, despite the south coast club ultimately being relegated.
