Trent Alexander-Arnold is already the club's vice-captain and would be the natural heir to Virgil van Dijk.
Liverpool right-back Trent Alexander-Arnold has long been linked with a free transfer to Real Madrid.
Liverpool were knocked out of two competitions in the space of a week.
Liverpool are 23 points ahead of sixth-placed Newcastle in the league and hadn't lost to them for 17 games dating back to 2015.
Liverpool vs Newcastle United LIVE Streaming, Carabao Cup Final Live Telecast: When And Where To Watch
Newcastle United have not won a major domestic prize since winning the FA Cup in 1955.
Liverpool have a 15-point lead in the Premier League title race as they chase a record-equalling 20th English crown.
PSG were perfect with their four spot-kicks, while Gianluigi Donnarumma saved from Darwin Nunez and Curtis Jones.
PSG lost the first leg against Liverpool in the UEFA Champions League 1-0, despite dominating the game.
Liverpool survived a scare from Southampton as Mohamed Salah and Darwin Nunez inspired the fightback in a 3-1 win that lifted the Premier League leaders 16 points clear at the top on Saturday.
Just six points separate faltering Nottingham Forest in third place from Aston Villa in 10th, with a top-five finish almost certain to secure a place in Europe's top club competition next season.
Virgil van Dijk believes Liverpool's Champions League suffering at the hands of Paris Saint-Germain is not yet over despite surviving an onslaught to win the first leg of their last 16 tie 1-0 in the French capital.
Liverpool snatched a late winner to beat Paris Saint-Germain away 1-0 in the first leg of their heavyweight Champions League last-16 tie on Wednesday.
Liverpool take on an in-form Paris Saint-Germain side in the Round of 16 of the UEFA Champions League.
The Qatar-owned club had just won a French league and cup double and reached the Champions League semi-finals in Luis Enrique's first season in charge, with Mbappe smashing in 44 goals.
Paris Saint-Germain cruised to a 4-1 win over Lille on Saturday to extend their lead in France to 16 points ahead of their heavyweight Champions League clash with Liverpool.
Liverpool moved a giant step closer to the Premier League title with a ruthless 2-0 win against Newcastle, while Arsenal's challenge is in tatters after a 0-0 draw against Nottingham Forest.
Tired of finishing second best to Manchester City, Liverpool took revenge on the English champions with a 2-0 victory at the Etihad on Sunday