The Norwegian defender is in talks over a free transfer to the German side.
Riise told Nettavisen: “Yes, it looks like I will be leaving Fulham this summer.
“We have a deal with Fulham that will allow me to leave the club on a free transfer.”
Werder Bremen tried to sign the Norwegian defender while he was still at Roma in 2009.
Riise has made 73 appearances for Fulham under Martin Jol, but could still be set to leave Craven Cottage this summer.
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Being an amiable guy is good for you and Jurgen Klopp is living proof.
Summer 2016 is set to be a very exciting time for football fans, as this is when the long awaited Euro 2016 tournament kicks off.