Goodison boss David Moyes is understood to have switched his attentions to Bakke after Savage committed to a new four-year contract at Birmingham.
The Norway international started in last night's 2-0 win in the pre-season friendly against Swedish side Bodens.
He has stated his desire to stay at Elland Road but with 12-first teamer's already been sold off it would be no surprise if he became the next big-money earner to go.
A number of targets have already been lined up to replace the Scandinavian with the likes of Sean Gregan and Andy Johnson of West Bromwich Albion and Richard Chaplow of Burnley in the frame.