The experienced full-back has been among the Cottagers' most consistent performers this season after arriving on loan from Cologne.
His short-term agreement at Craven Cottage is due to expire in the summer, but he has expressed a desire to stay in England.
Martin Jol has suggested in the past that he will assess the situation once the 2012/13 campaign comes to a close, but Riether claims discussions could be held before that.
He said: "I have enjoyed this year in the Premier League and we will have talks in the next few weeks.
"We hope we have a positive result from that."