According to Football Insider, the 22-year-old midfielder is being targeted for a January transfer.
O'Brien has impressed with the Terriers this season, and they are looking to cash in on him if a high enough offer arrives.
His contract runs out at the club in 2022, which means he could leave for a cut price fee in the summer.
These Premier League clubs, and others, have been watching O'Brien for several months.
Now it remains to be seen whether Huddersfield can generate the bidding war they desire for their star midfielder.