Paterson, who can play as a winger or as a forward, joined Huddersfield on a season-long loan deal from Championship rivals Nottingham Forest in the summer of 2015.
“We would like to sign him,” Hoyle told The Examiner. “However at this stage, Forest are going through a sale process, so are in no man’s land regarding transfers.
“We are trying to talk to them, but any new manager might want Jamie and we are not in a transfer window in any case. It’s a little bit up in the air, but we do want him, and we will keep trying.”
Paterson has scored five goals and created 49 chances in 32 Championship appearances for Huddersfield so far this season.
The 24-year-old has a pass accuracy of 81% and a shot accuracy of 38%, and has won six headers, 23 dribbles and 15 tackles.
The former Walsall attacker is having a good season at Huddersfield, and it makes sense for him to join David Wagner’s side on a permanent contract in the summer transfer window.
Paterson joined Forest in the summer of 2013 and has a contract until June 2018. The Reds are 17th in the Championship table at the moment, while Huddersfield are level on points but a place above them in 16th.