The 25-year-old joined the Reds in 2022 and made 39 appearances during an accomplished debut season, before a lengthy injury led to a prolonged spell on the sidelines.
After working hard to rebuild his fitness and match sharpness, Malacia returned to action earlier this campaign and the Netherlands international has played eight times under Ruben Amorim.
It has been agreed that Tyrell will now link up with Peter Bosz's side in his home country for the rest of this season.
PSV, who play their home games at Philips Stadion, are currently top of the Dutch first division by a margin of two points.