According to Don Balon, Barcelona could be set for a change of manager in the summer after an underwhelming season so far.
The Spanish giants have won eight trophies during Enrique’s time in charge of the club but they currently sit second in the table, three points adrift of Real Madrid.
And Klopp, 49, is said to have been placed on Barca’s shortlist of high-profile managerial targets.
According to Don Balon, Barca could also look to Everton boss Ronald Koeman or Borussia Dortmund’s Thomas Tuchel among others.
Klopp replaced Brendan Rodgers as Liverpool manager in 2015.
And he made an immediate impact on Merseyside, guiding the Reds to the League Cup and Europa League finals.
Liverpool have been equally impressive under his stewardship this term and currently sit second in the table, just five points adrift of Chelsea after 20 matches.
Klopp signed a six-year contract extension in July, keeping him at Anfield until 2022 and fans will be desperate for him to stay.