The Hungary international has been in excellent form for the Pilgrims so far this season, but Sturrock is in no rush to sell any of his players.
"There's been no enquiry and I'd very much doubt he'll be going unless there's an unbelievable price on the horizon," he said.
"It would be a great opportunity for any player to play in the Premier League but he's contracted to Plymouth Argyle and I'm knocking that one flat. There's been no contact from any club for Halmosi."