Quansah progressed through Liverpool's youth set-up and spent time on loan at Bristol Rovers, before he made his Reds debut in a 2-1 win over Newcastle United in Newcastle.
Having remained part of the first-team squad, the 21-year-old has gone on to make 30 competitive appearances for Jurgen Klopp's side.
The youngster has ultimately established himself as one of Liverpool's main central defensive options alongside the likes of Virgil van Dijk and Ibrahima Konate.
Quansah's performances for his club side have also helped him make four appearances for the England Under-21 team.
Liverpool to start Quansah contract talks
After enjoying a breakout season, Quansah could be rewarded with a new deal despite only signing his most recent contract last summer.
According to The Mirror, Liverpool are willing to offer Quansah a new long-term deal with a significant pay rise as a reward for his efforts this season.
The report claims that the Merseyside club are set to open contract negotiations with the player's representatives over the coming weeks.
While they are keen to tie Quansah down to a new deal, there is uncertainty surrounding several members of Liverpool's backline, including veteran centre-back Joel Matip, who is set to leave when his contract expires this summer.
Reds searching for new centre-back
Joe Gomez has also been linked with a move away, while there is also uncertainty surrounding the futures of Rhys Williams, Sepp van den Berg and Nat Phillips.
With departures likely, Arne Slot will need to bring in defensive reinforcements when he is eventually confirmed as Klopp's successor.
Liverpool are believed to be keen to recruit a left-foot centre-back, leading to speculation that they are considering a move for Eintracht Frankfurt's Willian Pacho.
The Reds are also showing an interest in Chelsea's Levi Colwill, but they may find it difficult to prise him away from Stamford Bridge this season.
In addition to potential incoming, Liverpool will also look to solve Van Dijk's contract situation, with his current deal set to run out in the summer of 2025.