Brown wants the Japanese star to stay at the club for at least another season but Nakamura last week claimed he had not taken a final decision on his future yet.
“I hope he can be talked into staying for another season,” said Brown.
“He is probably one of the fittest in our team and his natural ability is frightening.
“So we all hope Naka can stay and, with a wee bit of luck, the board can convince him to do that.
“You see him in training and games; he rarely gives the ball away and always keeps possession.
“He’s also good on the ball. Naka is in the gym all the time and he’s the last to leave after training.
“He is dedicated. Shunsuke is always hitting free-kicks and practising bits and bobs.”