La Parra enjoyed a successful debut season at Wolves last term after joining from Heerenveen, making 41 appearances in all competitions.
The flying winger's performances have not gone unnoticed, as Wolves just missed out on the play-offs on goal difference.
However, La Parra has found his first-team chances limited so far this season, making just one start in Wolves' opening six games of the campaign.
La Parra's lack of game time has alerted a number of clubs to his possible availability, with Leeds and Brighton big admirers of the Dutchman.
Leeds and Brighton are both looking to bring in new wide men before next week's transfer deadline and they could be ready to test Wolves' resolve to hang on to La Parra.
It remains to be seen if Wolves would consider letting La Parra move on as they look to mount another bid for promotion this season.