The England international winger has been the leading story in a number of the British tabloids over the past few months after it became evident of his desire to leave the Reds.
In a previous interview with the BBC, Sterling told reporters his decision was success-based and the club’s failure to win the FA Cup and achieve Champions League qualification may have swayed his decision.
A number of Premier League rivals have been linked with Sterling, with The Sun accrediting trio Manchester United, Manchester City and Arsenal with a strong interest.
Yet, his future may well lie on Merseyside after all as fresh reports claim he is willing to perform an incredible U-turn if the club managed to entice departing Dortmund coach Klopp to Anfield.
“Raheem Sterling will perform a stunning Liverpool U-turn if Jurgen Klopp lands the Kop job. Working under a boss like Klopp appeals massively to the player who said he would put all contract talks on hold until the end of a season which still has two England internationals left,” The Sun state.
Klopp has already announced his decision to leave Dortmund this summer after a highly-successful seven-year period at the impressive Westfalenstadion.
During his time at the club, the former Mainz boss has won two Bundesliga titles, two German Super Cups, the DFB-Pokal national cup plus a final appearance in the Champions League.
The German publication Bild has reported that Klopp may fancy the job at Anfield, but it remains to be seen whether the Liverpool board keep their faith in current, under-fire boss Brendan Rodgers.