Terriers boss David Wagner is looking to add players with Premier League experience after his side were promoted to the top flight on Monday.
Huddersfield-born Campbell, whose contract will expire at the end of June, would be able to move to the club on a free transfer.
The former Manchester United youth product made 13 appearances for Palace this season and scored one goal.
Need a VPN? Or seeking to switch? Then support Tribal Football by clicking here to sign up with our official partners NordVPN. Not only will you receive the best VPN experience, but also great discounts by signing up via Tribal Football. Thanks for your support!