Shaqiri has a release clause in his contract which the Daily Telegraph claim is in excess of the £12million figure which has been widely reported.
Shaqiri, 26, is keen on a move to Anfield as he looks to leave Stoke following their relegation from the Premier League.
Shaqiri's career makes for impressive reading despite the recent relegation with Stoke, with stints at Bayern Munich and Inter Milan displaying the huge potential the 5'7 winger possessed earlier in his playing days.
Shaqiri would not be seen as someone to come in and start games immediately, though Klopp appreciates the importance of depth across his attacking positions.
Klopp's side reached the Champions League final last season but finished a distant 25 points behind record breaking champions Manchester City.
Shaqiri scored eight times for Stoke last season and has made 92 appearances in total since joining from Inter in 2015.
Liverpool may be able to sweeten any deal by offering a player on loan.
They could have him in place to travel to the USA where they will play Borussia Dortmund, Manchester City and Manchester United later this month. Liverpool have been trying to reignite a deal despite a hands-off warning issued before the World Cup. Fekir is now part of the French squad which have made it to the World Cup final.