"We know that David Norris wants to join us," Cotterill told BBC Radio Solent of the 29-year-old.
"So we are hoping that maybe that one will get sorted out, maybe within the next week."
Norris has featured 27 times this season, scoring seven goals and picking up nine bookings along the way.
He has made a total of 91 league appearances for Town since joining from Plymouth three years ago, and Cotterill confirmed he is working bring him to Fratton Park.
"It went public, for sure it came out their end, it never came out from us," Cotterill said.
"I've only had a conversation with the manager, David Lampitt [Portsmouth chief executive] had a conversation with their chief executive.
"We know how it came out, maybe that was to drum up a bit of interest somewhere else."