The Dutch club have announced that they have reached an agreement with the English club.
There is a transfer fee.
The proposed transfer of Gakpo has been reached by PSV and LFC, according to a statement.
The attacker will leave for England imminently where he will be subjected to the necessary paperwork before completing his transfer.
The Netherlands were knocked out of the World Cup on penalties after Gakpo scored three goals in five appearances.
Manchester United was interested in Gakpo in the summer before making a deal for Antony from Amsterdam.
Before PSV released their statement, it was known thatLiverpool were in advanced talks with PSV about the transfer as they were looking to bring in another attacking player.
The win over Villa moved the Reds up to sixth in the table.
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The transfer window for clubs in England and Scotland opens on January 1st of next year and if all the necessary paperwork is completed then Gakpo could be in line for a debut on January 2nd.
Peter Smith works for Sky Sports.
In each of the group stage games, he scored with his head, left foot, and right foot. As a centre forward, he had his best performances. He has excelled as a left-winger at PSV.
Gakpo has hired a personal tactics coach to analyse his game in order to improve his skills. Extra homework is paying off for his club as his goals and assists-per-90 minutes stat shows.
His league-topping tally of goals and assists won't be as important as his mentality. Gakpo is at a high level and determined to get better. He's an attractive investment.
Gakpo has all the attributes required of a modern forward.