The Daily Express have reported that the 25-year-old will have a medical and join up with Jurgen Klopp’s squad for their tour of the USA with the fee, plus numerous add-ons to total £25million.
The Dutch international played the final 11 minutes of Newcastle’s 2-2 friendly draw with Doncaster Rovers on Wednesday night, but is believed to have his heart set on a move to Anfield.
Wijnaldum scored 11 goals in 38 Premier League game last season after joining Newcastle for £14.5million from PSV Eindhoven.
Klopp made a move for the Newcastle player after a move for Udinese’s Piotr Zielinski collapsed.
Liverpool flew to the west coast of America in the early hours of Thursday following the 2-0 friendly win over Huddersfield Town.
They are scheduled to have a light session at their Stanford University training base on Thursday and Wijnaldum could have his medical in the USA, while personal terms are not believed to be an issue for the player, who signed a five-year deal with the Magpies last summer.