If Matteo does go, he will join Alan Smith, Paul Robinson and Michael Bridges in leaving since the club were relegated from the Premiership.
Mark Viduka, Danny Mills and Michael Duberry are expected to be on their way soon, while Jason Wilcox and David Batty are out of contract.
One player coming in is QPR central defender Clarke Carlisle, who will complete a free transfer to Leeds on July 1 after passing a medical. "For me to land a club like Leeds is tremendous. I couldn't have asked for anything better than this," the 24-year-old Carlisle said.