The 29-year-old has not signed a new contract with the Bavarians and looks to be on his way out.
And recently crowned Premier League champions Liverpool are in pole position for the Spaniard.
According to BILD, Klopp has voted internally for the Thiago signing.
Furthermore, there is a broad agreement between Thiago and Liverpool.
The final obstacle is the big one and that is Liverpool agreeing a fee with Bayern Munich.
Bayern want €40m for Thiago – a world class midfielder – regardless of his contract situation
Liverpool hope to pay closer to €25m for Thiago due to the fact he now into the final 12 months of his contract.
For now, nothing is definite but Klopp’s approval moves Thiago one step closer to Anfield.