Riise is the younger brother of former Liverpool defender John Arne.
Riise has been linked with a move to Fulham in recent weeks.
“It is always the market that decides, but both LSK (Lillestrom) and Bjorn Helge have ambitions to seal a deal,” Lillestrom sporting director Torgeir Bjarmann told Romerikes Blad.
“He is working hard and gives everything in the game. Something like that is noticed and Bjorn Helge is guaranteed to be sold. The only question is when.”
“There have been quite a many that have addressed us lately,” he explained.
“Bjorn Helge has produced top performances. That is good not least for himself but also for the fans and the club. Our goal is to sell him.”