Southampton expect a big week regarding Romeo Lavia with Liverpool, Chelsea and Manchester United all targeting the midfielder.
Liverpool, armed with cash from the sales of Fabinho and Jordan Henderson will make an improved bid for the 19-year-old.
The Reds saw their first approach of £35million plus add-ons turned down by Saints, with the Championship club wanting £50m.
Liverpool boss Jurgen Klopp has stressed the club must strengthen their midfield after Henderson moved to Al Ettifaq for £12m, while Fabinho is poised to join fellow Saudi Arabian side Al Ittihad for £40m.