10:26AM BST 08 Jul 2011
The former Liverpool left-back is due to undergo a medical at Fulham, suggesting terms have been agreed with the Serie A club.
"He's coming for a medical. If that's okay we've got ourselves a very good player," said Fulham manager Martin Jol.
Riise won the Champions League and the FA Cup during seven years at Anfield and his younger brother, Bjorn Helge, is already on the books at Craven Cottage.
Fulham were last night held to a frustrating goalless draw by Faroe Island minnows NSI Runavik but still progressed to the second qualifying round of the Europa League.
Jol's men failed to capitalise on a flurry of first-half chances against the part-timers.