Jurgen Klopp is keen to further bolster his midfield options before the summer transfer window closes in England on Friday evening, despite having already signed Dominik Szoboszlai, Alexis Mac Allister and Wataru Endo.
Gravenberch is believed to have been on Liverpool's radar for some time and has been heavily linked with an exit from the Allianz Arena throughout this summer.
The 21-year-old joined Bayern from Ajax last summer for an initial €18m, but he struggled to nail down a regular starting place last season under either Julian Nagelsmann or Thomas Tuchel.
Gravenberch started just three of his 24 Bundesliga appearances last season, with Joshua Kimmich and Leon Goretzka both preferred ahead of him in centre-midfield.
The summer arrivals of Konrad Laimer and versatile full-back Raphael Guerreiro, who can also play in midfield, have pushed Gravenberch further down the pecking order, and the Dutchman is now keen to leave Bayern in search of regular first-team football.
Both Liverpool and Manchester United have recently been credited with an interest in Gravenberch, but the former appear to have won the race for his signature as The Athletic reports that Klopp's side have agreed a fixed fee of €40m (£34.2m) with Bayern to sign the midfielder.
The report adds that the Netherlands international will fly to Liverpool on Thursday night ahead of undergoing a medical on transfer deadline day.
It is claimed that the deal was negotiated by the player's representative Jose Fortes Rodriguez from Raiola, and Gravenberch is expected to put pen to paper on a long-term contract with Liverpool having already agreed personal terms.
Liv
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