The Moroccan winger spent last season on a short-term stay at the Potters and impressed with a string of eye-catching displays for Mark Hughes' side as they finished in their highest-ever Premier League position of ninth.
Despite his successful stay at the Britannia, the Reds are said to be looking to sell on the 25-year-old, but have now told Stoke that it will take £7 million to land their wide-man.
Liverpool paid £3.5 million for Assaidi in 2012, but his performances with Stoke has seen his price-tag soar in the eyes of the Anfield hierarchy, according to The Mirror.
A deal for Assaidi would represent Stoke's third biggest outlay of all time, following the £8 million and £10 million captures of Kenwyne Jones and Peter Crouch respectively.
Liverpool manager Brendan Rodgers is expected to be backed by the club's owners this summer, as he plots to beef up his squad ahead of a season that includes Champions League football.
However, owners FSG cannot bankroll the club in the same way that Roman Abramovich and Sheik Mansour can at Chelsea and Manchester City respectively, and the Northern Irishman is looking at ways to boost his transfer kitty.
It is unsure if Fabio Borini, who also enjoyed a successful loan spell last season, has a future at the club despite his impressive performances while at Sunderland, and Spanish star Suso is another whose future is uncertain.
Rodgers put pen to paper on a new contract at Anfield on Monday in a deal that has been described as "long term" by the club.