Huddersfield have held a long-term interest in van La Parra and tried to sign the Dutchman in the January transfer window, only for Wolves to reject several offers for the 24-year-old.
Van la Parra had a spell out on loan at Brighton & Hove Albion earlier this season, where he scored two goals in six appearances for the Seagulls during his month-long stint at the club.
The skilful wide man won his place back in Kenny Jackett's plans after returning from his loan spell, but he has not featured in the match-day squad for the last two games against Derby County and Middlesbrough.
Van la Parra's lack of recent action has alerted Huddersfield who are keen to finally bring the player to the John Smith's Stadium.
Huddersfield manager David Wagner is keen to add to his attacking options before the loan window closes and he has made a move for van la Parra one of his top priorities.