The 24-year-old ace spent last season on loan at Hull, establishing himself as a key player in the newly promoted Tigers’ first-team, boosting their safe passage to a second season in the top tier while helping them to the FA Cup Final.
Rumours have indicated that Steve Bruce is already planning to make his stay at the KC Stadium a permanent one, but now he looks set to face competition from the Reds.
Rodgers is believed to be looking to bulk out his midfield options after securing Champions League football, and could use Livermore to replace Lucas Leiva – who has been linked with Inter Milan.
Livermore is viewed by the Northern Irishman as the sort of player that would fit well into his system and provide Steven Gerrard, Jordan Henderson, Joe Allen and Philippe Coutinho with cover.
Despite being a graduate of Tottenham’s youth set-up, the versatile central man has only made 11 starts for the Lilywhites, and is thought to be available for around £8m due to the club’s wealth of options in his position and need to fund their next manager’s transfer business.