HITC Sport understands that an enquiry has been made regarding a goalkeeper valued at £2million by his current employers.
It is believed that the Terriers value their first-choice stop-stopper at around £2million.
Any sale would come as something of a surprise, given Smithies’ standing at the John Smith’s Stadium.
He has missed just two Championship fixtures in the last three seasons – with both of those coming in the 2014/15 campaign.
The former England U19 international also committed to a new three-year contract in February, as announced on the club’s official website, with that agreement set to carry him through to 2018.
Smithies is a Huddersfield local and has spent his entire career to date with his hometown club – stepping out of the academy ranks to make his debut in December 2007.
He is fast closing in on 300 appearances for the Terriers, but QPR have decided to test the water regarding a possible fresh start elsewhere.
The Loftus Road outfit still have Rob Green on their books, but questions have been raised as to his long-term future at the club and Alex McCarthy has been offloaded to Crystal Palace – leaving them short on options in an important area.